trigonometry help- double angle formulae

Trigonometry Help- Double Angle Formulae

Answers

Answer 1

Step-by-step explanation:

We have sinA = 4/5 and sinB = 7/25.

=> cosA = sqrt(1 - sin²A) = 3/5

=> cosB = sqrt(1 - sin²B) = 24/25

P.S. Cosine must be positive in Quadrant I.

sin(A - B)

= sinAcosB - cosAsinB

= (4/5)(24/25) - (3/5)(7/25)

= 75/125 = 3/5. (Shown)


Related Questions

33 + 8
5
1 - 2:
2
Solve for x

Answers

Answer:

its 882

Step-by-step explanation:

What is the solution to the system of equations below? {2y=x+63x=y+7 (5, 4) (20, 13) (13, 20) (4, 5)

Answers

Answer:

(4,5)

Step-by-step explanation:

Let's solve your system by substitution.

2y=x+6;3x=y+7

Step: Solve2y=x+6for x:

2y=x+6

2y+−x=x+6+−x(Add -x to both sides)

−x+2y=6

−x+2y+−2y=6+−2y(Add -2y to both sides)

−x=−2y+6

−x

−1

=

−2y+6

−1

(Divide both sides by -1)

x=2y−6

Step: Substitute2y−6forxin3x=y+7:

3x=y+7

3(2y−6)=y+7

6y−18=y+7(Simplify both sides of the equation)

6y−18+−y=y+7+−y(Add -y to both sides)

5y−18=7

5y−18+18=7+18(Add 18 to both sides)

5y=25

5y

5

=

25

5

(Divide both sides by 5)

y=5

Step: Substitute 5 for y in x=2y−6:

x=2y−6

x=(2)(5)−6

x=4(Simplify both sides of the equation)

За + 2b – 8а + Ь
Please help

Answers

Combine the like terms
3b-5a
Or -5a+3b if keeping in a certain order

Answer:

-5a+3b

Step-by-step explanation:

-5a+3b Combine like terms

Simplify this expression.
8.9 - 1.4x + (-6.5x) + 3.4
х

Answers

Answer:

8.9-1.4x + (-6.5x) + 3.4x

8.9-1.4x - 6.5x +3.4x

      -1.4x - 6.5x  = -7.9x

         -7.9x+ 3.4x=-4.5x

Answer 8.9 -4.5x

Step-by-step explanation: Hope This Helps !!!

First you are going to remove the parentheses then COMBINE LIKE TERMS

Lastly you just put your equation together .

Tell whether the rates are equivalent. 0.4 kilometer for every 15 minutes 0.6 kilometer for every 20 minutes

Answers

Answer:

no they are not equivalent

Step-by-step explanation:

0.4/15 = 0.026

so for every minute they travel 0.026km

0.6/20 = 0.03

so for every minute they travel 0.03km

so they are not the same/equivalent

PLease help please i need helo on this

Answers

I=315
IIII
III
II
I
II
III
IIII

Express (x + 10)^2 as a trinomial in standard form.

Answers

Answer:

x2-20x+100

Step-by-step explanation:

You have to factor the expression in order to get your answer

Do this by expanding out the expression: (x-10)(x-10) Then factor by multiplying each of the components! Use the FOIL acronym to help you. FOIL stands for First, Outer, Inner, Last. Meaning multiply the first numbers of the expressions together, then the outers, then the inner two numbers, then the last two numbers of the expression.

Multiply x and x to get  , multiply x and -10 to get -10x, multiply -10 and x to get -10x, multiply -10 and -10 to get 100. Add them all together:  . Then combine like terms

The required trinomial in standard form is x²+20x+100.

Trinomial:

Important information:

The expression is the [tex](x+10)^2[/tex].

Using the formula [tex](a+b)^2=a^2+2ab+b^2[/tex], we get

[tex](x+10)^2=(x)^2+2(x)(10)+(10)^2[/tex]

[tex](x+10)^2=x^2+20x+100[/tex]

Therefore, the required trinomial in standard form is x²+20x+100.

Find out more about 'Trinomial' here:

https://brainly.com/question/860565

Tammy and Jay go out to dinner. Their total bill, including tax, comes out to $46.14. Once they add tip, they end up spending $53.98. What percent tip did they give? (Round to the nearest percent).

Answers

Tammy and Jay gave a 17% tip.

A 16-ounce package of cereal costs $4.00. What is the unit cost?

Answers

Answer:

$0.25/1oz

Step-by-step explanation:

$4.00 / 16oz = $0.25 per ounce

Answer:

The answer is D) $0.25 for every 1 oz

Step-by-step explanation:

In order to find a unit cost of something, you divide the amount of money per item, by the amount of the product. So, you divide 4/16 and get .25. Then you know already that that is the unit cost. So, every 1 oz of the product costs 25 cents. Hope this helps :)


Increase 100 by 85%

Answers

Answer:

100, percentage increased by 85% (percent) of its value = 185 Jan 16 02:56 UTC (GMT

Answer:

=100+85%

=100.85.......

A cubic foot holds about 7.5 gallons of water. A ceramic container the shape of a square pyramid has a height of 8 feet. The edges of its base measure 2.7 feet. How many gallons of water will this container hold?

Answers

Answer:

b

Step-by-step explanation:

Answer: b

Step-by-step explanation: fdfdfd

please help i need this done by tonight at midnight

Answers

Answer:

no se no mergas yo mejor te aconsejo que quemes tu libreta te encierres en tu cuarto para que tu mamá no te de un chanclaso

Plz help due tomorrow

Answers

Answer:

D, or the last option

Step-by-step explanation:

Answer:

1/2-5d

Step-by-step explanation: Commutative property you have to switch the order of the terms. Since your problem was -5d+1/2 just flip it, 1/2-5d.

Help me please I will give brainliest

Answers

3rd and 4th box
I just know

How do you graph it out

Answers

Start at 0 then go up 1 place the dot the go up 3 and over 2 then put the 2nd dot
go right once, it’s gonna be at positive 1 then go up 3 boxes and then go right 2 boxes do that until the graph is done, then do it the other way, go down 3 boxes and left 2 boxes to get the bottom half

Which graph shows all real numbers closer to 0 than they are to 4?

Answers

It has to be A because it’s the real numbers closer 0 then they are at 4

Answer:a

Step-by-step explanation:

Solve using fractional law exponent rule

Answers

Answer:

hope this help

Step-by-step explanation:

8 3/ 5 so that is the answer

the answer is 8 3/5! hope this helps!!

Find the diagonal distance between 2,-1 -3,2 the two points given be sure to round to the nearest tenth

Answers

Answer:

[tex]d=15[/tex]

Step-by-step explanation:

From the question we are told that

Two points

[tex]x=(2,-1)\\y=(-3,2)[/tex]

Generally distance formula is mathematically given by

[tex]d=\sqrt{(x1-x2)^2(y2-y1)^2}[/tex]

[tex]d=\sqrt{(2-(-3))^2((-1)-(2))^2}[/tex]

[tex]d=15[/tex]

using the elimination method how do I find x and y for the following problem:

3x+5y=-1
x + 5y = 4

Answers

Answer:

x is equal to -3, and y is equal to eight fifths, or 1.6

Step-by-step explanation:

Solving by elimination means to add or subtract one of the equations from the other, eliminating one of their common terms.

Because both of the provided ones have the term 5y (and no other y terms), let's use subtraction:

   3x + 5y = -1

- ( x + 5y = 5 )

   2x + 0 = -6

Which we can solve pretty quick:

2x = -6

x = -3

We can now solve either of the original equations for y:

x + 5y = 5

-3 + 5y = 5

5y = 8

y = 8/5, or 1.6

To make sure we're correct, let's test our results in the other equation:

3x + 5y = -1

3 × -3 + 5 × 8/5 = -1

-9 + 8 = -1

-1 = -1

So we're good!

What does negative 2 over 3 > −1 indicate about the positions of negative 2 over 3 and −1 on the number line?

negative 2 over 3 is located to the right of −1
negative 2 over 3 is located on the left of −1
negative 2 over 3 is located on the right of 0, and −1 is located on the left of 0
negative 2 over 3 is located on the left of 0, and −1 is located on the right of 0

Answers

Answer:

2 to the 3rd of the queation would be around 17

Step-by-step explanation:

Answer:

-2 over 3 is located to the left of -1

Step-by-step explanation:

Solve |x+2| >5-(x-1)^2 by graphing

Answers

Answer:

x

<

1

or

x

>

2

Step-by-step explanation:

1. What is the sine of angle in the triangle below?
10
13

Answers

i can’t see the triangle

Plz help me
It's the same as the last question

Answers

Answer:

4x+4x+7x=180

15x=180

x=12

Step-by-step explanation:

Answer:

From the lines we know that that two sides are the same so the other angle is also 4x

the total of a triangle equals 180 so

4x+4x+7x=180

15x=180

x=12

Hope This Helps!!!

Is the following equation linear or nonlinear??

Answers

It is nonlinear because it has exponents. Your welcome

Write a story that could represent this math problem.

A rectangle partitioned into thirds five times. The first part, the second part, the fourth part, the fifth part, the seventh part, the eighth part, the tenth part, the eleventh part, the thirteenth part, and the fourteenth part are shaded.

Answers

Answer: Bryan had 2/3 of a chocolate bar. Four of his friends also had 2/3 of a chocolate bar. How much chocolate did they have all together?

Step-by-step explanation:

The math problem is 2/3 x 5 so if he had five people, including him. That would be 2/3 x 5

Answer: it is a

Step-by-step explanation:  did when who bs ehd

Which shows the best use of the associative and commutative properties to
make simplifying 2.4 + 13 – 5 + 3.6 +7 easier?
O A. (2.4 + 13) + (-5 +3.6 + 7)
O B. (2.4 + (-5) + 13) + (7 + 3.6)
O C. (7+ 2.4 + 13) + [3.6+ (-5)]
O D. (2.4+ 3.6) + [13 +7+(-5)]

Answers

Answer:

D

Step-by-step explanation:

So the associative and commutative properties basically say That you can change the orders of the numbers and the answer won't change (for multiplication and addition).

Your answer would be D because they added the numbers with a decimal place together, it makes it easier to look at, and add in your head.

Solve the following:
a)
5x - 1 = 3x + 9
b)
2x + 4 = 6x - 16

Answers

Answer:

a = 5

b = 5

Step-by-step explanation:

WILL MARK BRAINLEST!!!!!!
What should be the first step in adding these equations to eliminate y?
8x + 3y = 2
+ 4x - 6y= -7
O A. Multiply the top equation by 4.
O B. Multiply the bottom equation by 8.
C. Multiply the bottom equation by 2.
D. Multiply the top equation by 2.

Answers

D. Multiply the top equation by 2.

Answer:

D

Step-by-step explanation:

Given the 2 equations

8x + 3y = 2 → (1)

4x - 6y = - 7 → (2)

Multiplying the top equation (1) by 2 and adding to (2) will eliminate y

16x + 6y = 4 → (3)

Add (2) and (3) term by term to eliminate y

20x + 0 = - 3

20x = - 3 ( y has been eliminated )

What is the area and perimeter of a rectangle with a width of 7 meters and a length of twice that amount?

Answers

Answer:

7x14=98

Step-by-step explanation:

formula for rectangule area= b.x so 7x(7x2)= 7x14=98

What is the value of x when g(h(x)) = 4?

Answers

Answer:4

Step-by-step explanation:

I Took the test

The value of the x in g(h(x)) = 4 is 4 if the g⁻¹(4) = 2 and at x = 4 h(x) = 2 option (C) is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have functions g(x) and h(x) shown in the figure.

g(h(x)) = 4

Taking the inverse of a function:

h(x) = g⁻¹(4)

From the set of functions g(x)

(2, 4) belongs to g(x)

(4, 2) belongs to g⁻¹(x)

g⁻¹(4) = 2

h(x) = 2

x = 4  (from the function h(x) data set)

Thus, the value of the x in g(h(x)) = 4 is 4 if the g⁻¹(4) = 2 and at x = 4 h(x) = 2 option (C) is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

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