1/secA+tanA = 1-sinA/cosA

Answers

Answer 1

Answer:

Below.

Step-by-step explanation:

1 / secA+tanA =  1 / [1/cosA+sinA/cosA))]

= 1/ [(1 + sinA)/cosA]

= cosA/(1+sinA)

Now check if this is identical to 1-sinA/cosA:

1-sinA/cosA = cosA/(1+sinA)

Cross multiply:

(1-sinA)(1+sinA) = cos^2A

1 - sin^2A = cos^2A

sin^2A + cos^2A = 1  

This is a known idenity.

So the original identity is true.


Related Questions

[tex]\frac{2x^{2} -50}{x^{2} +7x+10}[/tex]

Answers

Step-by-step explanation:

[tex] \frac{2 {x}^{2} - 50}{ {x}^{2} + 7x + 10 } [/tex]

[tex] \frac{2( {x}^{2} - 25) }{(x + 5)(x + 2} [/tex]

[tex] \frac{2(x + 5)(x - 5)}{(x + 5)(x + 2)} [/tex]

[tex] \frac{2(x - 5)}{x + 2} [/tex]

Help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

b) cylinder volume = π r^2 h = π*4*3= 12π = 37.68in^3

d) cone volume = .33π r^2 h = .33*π*225*50= 3750π cm^3

f) cuboid volume = l*b*h = 44*19= 836 in^3

e) hemisphere volume = 2/3 π*r^3 = 883.57ft^3

find Y thanks don’t be guessing cuz girl

Answers

Answer:

3 inches

Step-by-step explanation:

It's like 2 inches, but a little bigger.

Hope this helps and is correct.

Btw it's my birthday.

The following box plot shows the class scores on a particular math test:
10
20
30
70
80
90
100
40 50 60
Percent
Which of the following data sets is represented in the box plot?
{40, 50, 50, 77, 77, 100)
{0.50, 60, 75, 85, 100)
{50, 60, 60, 75, 75, 85, 85, 100)
[60, 65, 70, 75, 85, 85, 85)

Answers

Answer:

maybe the third one and i would also like to see the box plot

Step-by-step explanation:

Two numbers have a product of -36
They have a sum of -5
What are the two numbers?

Answers

Answer:

-9,4

Step-by-step explanation:

DIRECTIONS: Type your answer in the space provided. The slope must be in fraction form.
What is the equation of the line parallel to the given line through the point (14,0)?

-4x - 7y = 14

Answers

DIRECTIONS: Type your answer in the space provided. The slope must be in fraction form.
What is the equation of the line parallel to the given line through the point (14,0)?

-4x - 7y = 14

Find the volume of the figure below.

Answers

Answer:

B. 86.625

Step-by-step explanation:

To find the volume of a shape the formula is this, length x width x height. 5.5 x 4.5 x 3.5 = 86.625.

(If A(2, -3), B(3,-2) and point C divides the line segment AB in the ratio of 1: 2, find OC.)​

Answers

Answer:

A(2, -3) and B(3, -2), o(0, 0) Let C(x, y)

Here c divide AB line in the ratio of 1:2

From the line intersection law, we get x=(m1×x2+m2×x1)/(m1+m2)

and y=(m1×y2+m2×y1)/(m1+m2)

where m1=1, m2=2, x1=2, x2=3, y1=-3, y2=-2;

so x=(3+4)/3

  or, x=7/3;

y=(-2-6)/3

 or, y=-8/3;

so, oc=√((0-7/3)²+(0-(-8/3))²)

oc=3.54

Which expression is NOT equivalent to 100 + 20?
O10(10 + 2)
2(50 + 10)
Submit Answer
04(96 + 5)
5(20 + 4)

Answers

All except 2(50+10)

Because 50+10=60 • 2 =120

And 100+20=120

Which expression is equivalent to 8 (a minus 6)?
8 a minus 48
2a
8 a minus 6
48a

Answers

Answer:

8 a minus 48

Step-by-step explanation:

you need to distribute!!

so you distribute the 8 to both the a and 6

8 times a equals 8 a

8 times 6 equals 48

and so that’s how you get 8 a minus 48 c:

Answer:

8 a minus 48

Step-by-step explanation:

Jack had m math problems to complete during his vacation. He solved the same
number of problems every day and finished them all in 5 days.
Suppose Jack was solving 15 problems per day. Use this information and the answer
to part (a) to build an equation.

Answers

Answer:

M/5 =15

Step-by-step explanation:

The answer to part a was m/5. m/5 is the amount of questions Jack does per day. If 15 is supposedly the number of question he does per day, then m/5 and 15 are equal. Making m/5=15. Good luck fellow RSM student.

What is the answer I need help please

Answers

The answer is 107 hope this helps

Answer:

i belive the answer is 73

Step-by-step explanation:

45+62=107

180-107=73

can someone help with this please I would really appreciate it.

Answers

Answer:

The answer is 8 ft ^3

Step-by-step explanation:

1. 4 (base ) x 4 (width) x 2 (height)
2. Get the answer of 32.
3. Do 32 x 1/4 because each square is 1/4 ft.
4. Get the answer of 8

Hope this helps! :)

The lateral area of a cone is 19.2π in2. The radius is 2.4 in. Find the slant height.

Answers

The slant height of a cone with lateral surface are of 19.2π inches squared and radius of 2.4 inches is 8 inches.

Lateral surface area of a cone

The formula for the lateral surface area of a cone is described as follows:

Lateral area = πrl

where

r = base radiusl = slant height

Therefore,

Lateral area = 19.2π inches²

r = 2.4 inches

Lateral area = π × 2.4 × l

19.2π = 2.4πl

divide both sides by 2.4π

l = 19.2π / 2.4π

l = 8 inches

learn more on cone here: https://brainly.com/question/27170515

"All rational functions have asymptotes and points of discontinuity." Katlyn wants to put this statement in her math book. Is this statement true? Explain, for her benefit, using 2 examples

Answers

Answer:

Not true.

Step-by-step explanation:

A  rational function is like P(x) / Q(x) where P and Q are polynomials.

Examples would be x^2 / (x^2 - 2)  and  x^2 / (x^2 + 2).

Now the first one will have a vertical asymptote at x = √2 because this value would make the denominator zero.

The second one will have no asymptotes because the only value that would make x^2 + 2 = zero is not real (it would be √2i). So the domain of this  is all real numbers ,  and  no asymptotes.

help me with this question also​

Answers

[tex]\text{Given that,}\\\\[/tex]

[tex]~~~~~~~\cos \theta = \dfrac 89\\\\\\\implies 2\cos^2 \left(\dfrac{\theta}2 \right) -1 = \dfrac 89~~~~~~;\left[1+ \cos 2\theta = 2\cos^2 \theta \right]\\\\\\\implies 2 \cos^2 \left(\dfrac{\theta}2 \right)= \dfrac 89 +1\\\\\\\implies 2 \cos^2 \left(\dfrac{\theta}2 \right)=\dfrac{17}9\\\\\\\implies \cos^2 \left(\dfrac{\theta}2 \right) = \dfrac{17}{18}\\\\\\\implies \cos \left(\dfrac{\theta}2 \right)=\sqrt{\dfrac{17}{18}}~~~~~~~~~~~;\left[\text{Positive value of} ~\cos \left(\dfrac{\theta}2\right) \right][/tex]

[tex]\implies \cos \left(\dfrac{\theta} 2 \right) =\dfrac{\sqrt{17}}{\sqrt{9 \times 2}}\\\\\\\implies \cos \left(\dfrac{\theta} 2 \right)=\dfrac{\sqrt{17}}{3\sqrt 2}\\\\\\\implies \cos \left(\dfrac{\theta} 2 \right)=\dfrac{\sqrt{17} \cdot \sqrt 2}{3\cdot 2}\\\\\\\implies \cos \left(\dfrac{\theta} 2 \right)=\dfrac{\sqrt{34}}{6 }[/tex]

Look at the map showing the Austria-Hungarian Empire in about 1900.

Map of ethnic groups in Austria-Hungary in 1867. Prussia, the Russian Empire, Kingdom of Italy, Serbia and Romania are shown along with these ethnic groups: Germans, Poles, Slovenes, Hungarians, Romanians, Italians, Czechs and Slovaks, Croats and Serbs.

What information does the map provide about the Austria-Hungarian Empire?

Answers

Answer:

Austria-Hungary was home to many different ethnic groups.

Step-by-step explanation:

hope it helps ;))

What does 2k^4 * 10k^-7 equal?

Answers

Answer:

0.0000016k

Step-by-step explanation:

1. Solve

2k^4x10k^-7

16k*0.0000001k

0.0000016k

9. A man bought a calculator for Rs 1450 and sold at a loss of 12% Find the loss amount Hi. Find the selling price of the calculator.​

Answers

Price of calculator=₹1450Sold at a loss=12%

Loss amount:-

12% of 14500.12(1450)₹174

Hence

Selling price:-

Price-loss1450-174₹1276

Answer:

1276 rupees

Step-by-step explanation:

Given

Price = 1450Loss % = 12%

Solving

Selling price = 1450 x (100 - 12%) [as it a loss]1450 x 88%1450 x 0.881276 rupees

- Calculate the profit or loss
- Find the percentage profit or loss correct to 2 decimal places

A car purchased for $28899 was sold for $17580

Answers

Answer:

loss=B.price-S.price

$28899-$17580=$11319

Percentage profit=profit/B.price*100%

$11319/28899*100=$385.20

Step-by-step explanation:

A line has a slope of -3 and passes
through the point (8,-12).

Answers

There aren't enough parts for this to be classified as a question.

25. The sales tax rates 7.25
Part A How much taxis added on an item that costs $56.007
Part B $36.25 in taxis added to the price of an item, what was the original price of the item? pie y pie​

Answers

Answer:

A:60.14

B:3,379.95

Step-by-step explanation:

I assume that .007 is supposed to be .07

56.07*1.0725=60.14

B.

36.25 is 1.0725 of ...

3,379.95

36.25 * 0.010725

What do a and b represent in the general term(tn)=an+b of sequence?​

Answers

The sequence Tn = an + b is an arithmetic sequence.

b represents the first term, and a represents the common difference

How to interpret variables a and b?

The general term is given as:

Tn = an + b

The above term is an arithmetic sequence.

An arithmetic sequence is represented as:

Tn = T1 + (n - 1)d

Where T1 represents the first term, and d represents the common difference

By comparing Tn = an + b and Tn = T1 + (n - 1)d, we have:

b = T1

a = d

This means that b represents the first term, and a represents the common difference

Read more about sequence at:

https://brainly.com/question/7882626

Use the formula for radian measure to calculate the measure of a central angle in a circle having a radius of 12 cm and intercepting an arc of 21 cm. theta = startfraction s over r endfraction the angle has a measure of radians.

Answers

The central angle has a measure of radians calculated by the formula for radian measure is 1.75 radians.

What is the formula for radian measure?

The formula for radian measure to calculate the central angle is given as,

[tex]\theta=\dfrac{s}{r}[/tex]

Here, (r) is the radius of the circle and (θ) is the central angle.

In a circle having a radius of 12 cm and intercepting an arc of 21 cm. Put the value of radius and the length of the arc in the above formula as,

[tex]\theta=\dfrac{21}{12}\\\theta=1.75[/tex]

Thus, the central angle has a measure of radians calculated by the formula for radian measure is 1.75 radians.

Learn more about the radian measure formula here;

https://brainly.com/question/12939121

Answer:1.75 radians

Step-by-step explanation: edge

There are 30 students in Ava’s class. Nine of them belong to the Pep Club. What fraction of the class are Pep Club members?

Answers

Answer:

total no. of students=30

pep club students =9

:=9/30 divide by 3

;=3/10

The first rule is add 12, then divide by 2 starting from 4. The second rule is multiply by 2, then subtract 2 starting from 3. What are the first four ordered pairs using the two sequences? (4, 4), (8, 6), (10, 10), (11, 18) (0, 4), (3, 6), (4, 10), 5, 18) (4, 3), (8, 4), (10, 6), (11, 10) (0, 3), (3, 4), (4, 6), (5, 10). I WILL MARK BRAINLIST. MY BROTHER NEEDS HELP WITH MATH LOLOLOLOLOLOLOLOLOLOLOLOLOL

Answers

Answer:

(03,)(4,4(4,6),(5,10)

Step-by-step explanation:

I’m smart I have an A + so it’s correct

Please helpppppppppp

Answers

Answer:

96 pizza slices

Step-by-step explanation:

Make a chart if 1 slice = 1.25, 20 pizza slices will cost 25.00, 50 will cost 62.50. An easy way you coud do it would be divided 120 by 1.25. When yu divided it it will give you 96. So, 96 slices will cost 120.00.

& What value of x satisfies the system of equations below!
x+2y= 11
4x - y = 8

Answers

Answer:

[tex]\boxed{\sf{x=3 \quad y=4}}[/tex]

Step-by-step explanation:

Isolate the term of x and y from one side of the equation.

x+2y=11 and 4x-y=8

⇒ x+2y=11

⇒ x=11-2y

Substitute.

4(11-2y)-y=8

Solve.

Distributive property:

⇒ A(B+C)=AB+AC

4(11-2y)

4*11=44

4*2=8

Rewrite the problem down.

44-9y=8

Subtract by 44 from both sides.

44-9y-44=8-44

Solve.

-9y=-36

Divide by -9 from both sides.

-9y/-9=-36/-9

Solve.

-36/-9=4

y=4

Substitute of y=4.

⇒ x=11-2*4

Use order of operations.

PEMDAS stands for:

ParenthesesExponentsMultiplyDivideAddSubtract

11-2*4

Multiply.

2*4=8

Rewrite the problem down.

11-8

Subtract.

11-8=3

x=3

Therefore, the correct answer is x=3 and y=4.

I hope this helps you! Let me know if my answer is wrong or not.

Find the slope of the line containing the points (-2, -3) and (-4, 1).

Answers

Answer:

- 2

Step-by-step explanation:

Slope, m = (y1-y2)/(x1-x2)

              = ( -3 -1)/(-2- -4) =

                       -4 / ( 2) = - 2

(-2,-3)(-4,1)

Sloep:-

m=1-(-3)/-4-(-2)m=1+3/-4+2m=4/-2m=-2

Solve for X. Its geometry, will mark branliest

Answers

Answer:

x=4

Step-by-step explanation:

right triangle calculator works well

Other Questions
Please help!Which text from the passage develops the element of suspense?adapted from Chapter I of The Legends of King Arthurby James KnowlesThe Prophecies of Merlin, and the Birth of Arthur King Vortigern the usurper sat upon his throne in London, when, suddenly, upon a certain day, ran in a breathless messenger, and cried aloud "Arise, Lord King, for the enemy is come. They have sworn by a great oath, Lord, to slay thee, ere this year be done. Even now they march towards thee as the north wind of winter for bitterness and haste." At those words Vortigern's face grew white as ashes. Rising in confusion and disorder, he sent for all the best craftsmen and mechanics, and commanded them to go and build him in the furthest of his lands a great and strong castle where he might fly for refuge"and, moreover," cried he, "let the work be done within a hundred days from now, or I will surely spare no life amongst you all." Then all the host of craftsmen, fearing for their lives, found out a proper site whereon to build the tower, and eagerly began to lay in the foundations. But no sooner were the walls raised up above the ground than all their work was overwhelmed and broken down by night invisibly, no man perceiving how, or by whom, or what. The king was filled with mixed rage and fear.He called for the astrologers and wizards, and took counsel with them.The wizards worked their spells, and declared that nothing but the blood of a youth born without mortal father, smeared on the foundations of the castle, could make it stand. Messengers were therefore sent through all the land to find such a child. As some of them went down a certain village street, they saw a band of lads fighting. They heard them shout at one"Avaunt, thou imp!avaunt! Son of no mortal man! Go, find thy father, and leave us in peace." At that the messengers looked steadfastly on the lad, and asked who he was. One said his name was Merlin. Another said that his birth and parentage were known by no man. A third said that the foul fiend alone was his father. Hearing the things, the officers seized Merlin, and carried him before the king by force. But no sooner was he brought to him than he asked in a loud voice, for what cause he was thus dragged there? "My magicians," answered Vortigern, "told me to seek out a man that had no human father, and to sprinkle my castle with his blood, that it may stand." "Order those magicians," said Merlin, "to come before me, and I will convict them of a lie." The king was astonished at his words, but commanded the magicians to come and sit down before him. Then said Merlin to the king "I pray, Lord, that workmen may be ordered to dig deep down into the ground till they shall come to a great pool of water." This then was done, and the pool discovered far beneath the surface of the ground. Then said Merlin to the king, "Command this pool to be drained, and at the bottom shall be found two dragons, which now are sleeping, but which at night awake and fight and tear each other." The king commanded the pool to be forthwith drained. Surely at the bottom of it did they presently discover the two dragons, fast asleep, as Merlin had declared. But Vortigern sat upon the brink of the pool till night to see what else would happen. Then those two dragons, one of which was white, the other red, rose up and began to fight. They cast forth fire with their breath. In the end the red dragon was worsted, and the white dragon disappeared. When their battle was done, the king desired Merlin to tell him what it meant. Merlin burst into tears and cried out this prophecy, which first foretold the coming of King Arthur.A. He called for the astrologers and wizards, and took counsel with them.B. "Avaunt, thou imp!avaunt! Son of no mortal man! Go, find thy father, and leave us in peace."C. 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Explain how you got your answer.Select the three linear functions.A. y = x to the power of 2 - 1B. y = 2x + 1C. y = 1/2x - 5D. y = 1/3x to the power of 2E. y = -x #20 While it is acceptable to report codes for uncertain diagnoses when a definitive diagnosis has not been established for inpatient hospitalizations, it is never appropriate to report a code for uncertain diagnoses for physician office and outpatient claims. Which is an example of an uncertain diagnosis? a. acute and chronic bronchitis b. suspicious for urinary tract infection c. resolving myocardial infarction d. acute asthma, ruled in Use the greatest common factor of 84 and 48 to write the sum 84+48 as a product. Write a whole number in each black. Steve travels from NYC to Boston at 90 mphand returns to NYC at 60 mph taking 6 hourstotal for the round-trip without stopping. What isthe distance between NYC and Boston?(A) 192 mi.(B) 208 mi.(C) 216 mi.(D) 224 mi.(E) 272 mi.