[tex]Evaluate: \sqrt{ \frac {1 - sin(x)}{1 + sin(x)}} \\ [/tex]
Solve this problem please..
Answers
[tex]\large\underline{\sf{Solution-}}[/tex]
We have to evaluate the given expression.
[tex] \rm = \sqrt{ \dfrac{1 - \sin(x) }{1 + \sin(x) } } [/tex]
If we multiple both numerator and denominator by 1 - sin(x), then the value remains same. Let's do that.
[tex] \rm = \sqrt{ \dfrac{[1 - \sin(x)][1 - \sin(x) ]}{[1 + \sin(x)][1 - \sin(x) ]} } [/tex]
[tex] \rm = \sqrt{ \dfrac{[1 - \sin(x)]^{2}}{1- \sin^{2} (x) } } [/tex]
We know that:
[tex] \rm \longmapsto { \sin}^{2}(x) + \cos^{2}(x) = 1[/tex]
[tex] \rm \longmapsto \cos^{2}(x) = 1 - { \sin}^{2}(x)[/tex]
Therefore, the expression becomes:
[tex] \rm = \sqrt{ \dfrac{[1 - \sin(x)]^{2}}{\cos^{2} (x)}} [/tex]
[tex] \rm = \dfrac{1 - \sin(x)}{\cos(x)}[/tex]
[tex] \rm = \dfrac{1}{\cos(x)} - \dfrac{ \sin(x) }{ \cos(x) } [/tex]
[tex] \rm = \sec(x) - \tan(x) [/tex]
[tex] \sqrt{ \frac{ \cos(n) }{1 + \: \sin(n) } } [/tex]
see the attachment!!
hope it helps
#carryolearning
![[tex]Evaluate: \sqrt{ \frac {1 - Sin(x)}{1 + Sin(x)}} \\ [/tex]Solve This Problem Please..](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/xof13sUWeQgzf0QZ7kN6WYwhl032DUmT.jpeg)
![[tex]Evaluate: \sqrt{ \frac {1 - Sin(x)}{1 + Sin(x)}} \\ [/tex]Solve This Problem Please..](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/CKnjD8JdKZ5GvfzZgZIBVd00XTwdtRkK.jpeg)
Related Questions
The square of the sum of two consecutive positive even integers is greater than the sum of their squares by 48. Find the two integers.
Answers
Answer:
4 and 6 or -6 and -4Step-by-step explanation:
Let the numbers are 2x and 2x + 2.
We have:
(2x + 2x + 2)² = (2x)² + (2x + 2)² + 484(2x + 1)² = 4x² + 4(x + 1)² + 48(2x + 1)² = x² + (x + 1)² + 124x² + 4x + 1 = x² + x² + 2x + 1 + 122x² + 2x - 12 = 0x² + x - 6 = 0(x - 2)(x + 3) = 0x = 2, x = -3The numbers are:
4 and 6 or - 6 and - 4Suppose that 12 inches of wire costs 60 cents at the same rate how many inches of wire can be bought for 25 cents
Answers
Answer:
5 inches
Step-by-step explanation:
60÷12=5 cents ( 1 inches of wire )
25÷5=5 inches
WHICH ONE IS THE CORRECT ANSWER?
Answers
After being discounted by 20%, a bicycle sells for $140. What was the bicycle's original cost?
Answers
Answer:
$700
Step-by-step explanation:
20%=140
divide both sides by 20
1%=7
times both sides by 100
100%= 700
$700
hope this helps
Which number has the greater value, 7*10^-9 or 6*10^-4
Answers
Answer:
6*10^-4 has a greater value.
Step-by-step explanation:
7*10^-9= 0.000000007
6*10^-4= 0.0006
what does x equel if there are 9 people 2 run away and the remaining number is x
Answers
Answer:
x=7 people
Step-by-step explanation:
x=9-2
May I please receive help?
Answers
Answer:
Equation of Parallel Line: y = -7x - 44
Equation of Perpendicular Line: y = x/7 - 8/7
Step-by-step explanation:
1) Parallel
Substitute (-6, -2) to find C
-2 = -7(-6) + c
-2 = 42 + c
-2 - 42 = c
c = -44
y = -7x -44
2) Perpendicular
Negative reciprocal
Substitute (-6, -2) to find C
-2 = 1/7(-6) + c
-2 = -6/7 + c
-2 + 6/7 = c
c = -8/7
y = 1/7x - 8/7 or
y = x/7 - 8/7
May I please receive help?
Answers
Answer:
J= 16.857°
K= 88 .4°
L=74.7°
Step-by-step explanation:
let x represent the angle of J
x° +(4x+21)° +(2x+41)° =180°
x + 4x + 21 + 2x + 41= 180° ( sum of angles in a triangle)
Collect like terms
x + 4x + 2x = 180 - 21 - 41
7x = 180
x =180/7
x=16.857
Therefore,
J = 16.857°
K=4x+21
=4(16.857)+21
= 67.4+21
=88.4°
L=2x +41
=2(16.857)+41
=33.7+41
= 74.7°
Sum of angles in the triangle =
16.857+88.4+74.7=179.9 approximately 180°
Hope this helps....
Jeff walks 3 1/2 miles in 3/4 hour. In 1 1/4 hour Sarah walks 6 3/4 miles. Who walks faster
Answers
There is a raffle at a hockey game and 250 tickets are sold. Trenton bought 88 tickets. What percent of the
tickets does Trenton have?
Answers
Answer:
35.2%
Step-by-step explanation:
88/250
88x4=352
250x4=1000
352/1000=35.2/100
there are 20 girls in the school choir. 15% of them wear glasses. how many girls in the choir wear glasses?
Answers
Answer:
3 wear glasses
Step-by-step explanation:
10%=2
5%=1
15%=3
An athlete of mass 60 kg running at a velocity of 10 m/s
Answers
Answer:600kgms-1
Step-by-step explanation:
mass *velocity
60*10 =600
Help me please! I need this solved.
Answers
Answer:
c(10) = 10c i believe
Step-by-step explanation:
or the answer in the picture
?/15•3/5=1/25 what does ? equal.
Answers
Answer:
? = 1
Step-by-step explanation:
For three consecutive homework assignments, each assignment had one more question than the previous assignment. The total number of questions on the three assignments is greater than 51 a.Write an inequality to represent this situation, where q is the number of questions on the first assignment
Answers
The inequality that represents the situation is:
[tex]3q + 3 > 51[/tex]
The first assignment had at least 17 questions.
On the first assignment, there were q questions.Each assignment had one more question than the previous one, so the second had q + 1 questions and the third had q + 2 questions.The total number of questions is:
[tex]T = q + q + 1 + q + 2 = 3q + 3[/tex]
Since the total is greater than 51, the inequality is:
[tex]3q + 3 > 51[/tex]
Solving the inequality, we have that:
[tex]3q > 48[/tex]
[tex]q > \frac{48}{3}[/tex]
[tex]q > 16[/tex]
Thus, it is found that the first assignment had at least 17 questions.
A similar problem is given at https://brainly.com/question/24514895
hi please help me thanksss
pls provide workings too thanks :)
Answers
Step-by-step explanation:
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Class 11
>>Maths
>>Trigonometric Functions
>>Trigonometric Equations
>>Solve for x: sin x + sin 2x...
Question
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Solve for x:sinx+sin2x+sin3x=cosx+cos2x+cos3x in the interval 0≤x≤2π.
Medium
Solution
verified
Verified by Toppr
We write the given equation as
(sinx+sin3x)+sin2x=(cosx+cos3x)+cos2x
or 2sin2xcosx+sin2x=2cos2xcosx+cos2x
or sin2x(2cosx+1)=cos2x(2cosx+1)
or (sin2x−cos2x)(2cosx+1)=0
∴sin2x−cos2x=0 or 2cosx+1=0
If sin2x−cos2x=0, then tan2x=1,
Hence 2x=nπ+π/4
or x=(4n+1)
8
π
.(1)
If 2cosx+1=0, then cosx=−1/2 (2)
∴x=2nπ±
3
2π
or x=
3
6n±2
π
We seek values of x in the interval 0≤x≤2π
In this interval (1) gives
x=π/8,5π/8,9π/8,13π/8. (n=0,1,2,3)
and (2) gives x=2π/3,4π/3. (for n=0,1)
Thus we get the answer
x=π/8,5π/8,2π/3,9π/8,4π/3,13π/8.
SOMEONE PLEASE HELP AND SHOW WORK i will give you brainliest!
Katy invests a total of $26,500 in two accounts. The first account earned a rate of return of 15% (after a year). However, the second account suffered a 8% loss in the same time period. At the end of one year, the total amount of money gained was $985.00. How much was invested into each account?
Answers
Answer:
Step-by-step explanation:
0.15x-0.08(26,500-x)=98.00
15x-212000+8x=98,500
23x+212000=98,500+212000
23x/23= 310500/23
x = 13500 (was invested in the account that gained 15% )
26500-13500=13000 (was invested in the account that lost 8%.)
What are the coordinates of each vertex if the figure is rotated 90° counterclockwise about the origin?
A. A'(-2, 2), B'(-5. - 2). C'(-3, -6),D (3,-4)
B. A' (2, – 2), B' (5,2), C'(3,6). D(-3,4)
C. A'(-2, – 2),B'(-5,2),C'(-3, 6),D(3,4)
D. A'(2, 2), B'(5,- 2),C'(3,-6),D'(-3,-4)
Answers
Answer:
sorry wont let me click off this question so so so sorry
Step-by-step explanation:
hope u do really well
i am a 2 digit number i am a less than 8+8 i am more than 6+6 i am even who am i?
Answers
Answer:
14
Step-by-step explanation:
16-12
even: 12 14 16
You are 14!
8+8=16 and we are given that you are less than 16.
6+6=12 and we are given that you are more than 12.
So the number can be 13, 14, 15.
We are also given that the number is even.
And the only even number here is 14. And 14 has 2 digits.
Hope this helps!
~Just a joyful teen
[tex]-GraceRosalia[/tex]
Please help out. I'm lost. I don't understand this :/
Answers
isosceles triangle is a triangle with at least 2 congruent sides (i.e. 2 or 3 congruent sides)
equilateral triangle is a triangle with exactly 3 congruent sides.
Graph 15 is an isosceles triangle
Step-by-step explanation:
15 . triangle on number 15 is an isoseles because it has two sides that are equal
and also it has two angles that are equal
16. it is a scalene beacause it has no side that is equal furthermore its angles are not the same they are all different
Carmel draws a plan of her school using a scale of 1 cm to 5 m.
On the plan, the playground is 6 cm long.
What is the real length of the playground?
Answers
Answer:
30m
Step-by-step explanation:
If 1=5
Then
6=?
6÷1×5=30m
A man deposited $80,000.00 in a bank at 12% compound interest per annum. How much did the man have in the bank at the second year
Answers
The amount that the man have in his bank at the second year is $100,352.
Using this formula
A=P(1+R÷100)^n
Where:
A=Amount
P=Principal=$80,000
R=Rate=12%
n=Number of years=2 years
Let plug in the formula
A=$80,000(1+12÷100)^2
A=$80,000(1+0.12)^2
A=$80,000(1.12)^2
A=$80,000(1.2544)
A=$100,352
Inconclusion the amount that the man have in his bank at the second year is $100,352.
Learn more here:
https://brainly.com/question/25213872
Here's a question ~
Two lines passing through the point (2 , 3) intersect each other at an angle of 60° . If slope of one line is 2, then find the equation of the other line ~
note : there are two possible slopes !
Need Proper Explanation ~
Answers
Answer:
[tex]\sf\longmapsto \: ( \sqrt{3} - 2)x + (2 \sqrt{3 } + 1)y = - 1 + 8 \sqrt{3} [/tex]
Step-by-step explanation:
It is given that –
Slope of the first line is–
[tex]\sf\longmapsto \: m_{1} = 2[/tex]
Let,
the slope of the Another line be –
[tex]\sf\longmapsto \: m _{2}[/tex]
Now,
The angle between the two lines is 60°.
Let's start solving!
[tex]\sf\longmapsto \: \tan(60°) | \frac{ m_{1} - m_ {2} }{1 + m_{1} m_ {2}} | [/tex]
[tex]\sf\longmapsto \: \sqrt{3} = | \frac{2 -m_{2} }{1 + 2m_{2}} | [/tex]
[tex]\sf\longmapsto \: \sqrt{3} = ± \: \: ( \frac{2 -m_{2} }{1 + 2m_{2}} )[/tex]
[tex]\sf\longmapsto \: \sqrt{3} = \frac{2 -m_{2} }{1 + 2m_{2}} [/tex]
[tex]\sf\longmapsto \: \sqrt{3} (1 + 2m_{2}) = 2 - m_{2}[/tex]
[tex]\sf\longmapsto \: \sqrt{3} + 2 \sqrt{3} m_{2} + m_{2} = 2[/tex]
[tex]\sf\longmapsto \: m_{2} = \frac{2 - \sqrt{3} }{(2 \sqrt{3} + 1) } [/tex]
The equation of line passing through point (2,3) and having a slope of –
[tex]\sf\longmapsto \: m_{2} = \frac{(2 - \sqrt{3} )}{2 \sqrt{3} + 1 } [/tex]
is–
[tex]\sf\longmapsto \: (y - 3) = \frac{2 - \sqrt{3} }{2 \sqrt{3} + 1 } (x - 2)[/tex]
[tex]\sf\longmapsto \: ( 2\sqrt{3} + 1)y - 3(2 \sqrt{3} + 1) = (2 - \sqrt{3} )x - 2(2 - \sqrt{3} [/tex]
[tex]\sf\longmapsto \: ( \sqrt{3} - 2)x + (2 \sqrt{3 } + 1)y = - 1 + 8 \sqrt{3} [/tex]
Hence the equation of the other line is -
[tex]\sf\longmapsto \: ( \sqrt{3} - 2)x + (2 \sqrt{3 } + 1)y = - 1 + 8 \sqrt{3} [/tex]
Please help! See algebra question..
Answers
Answer:
n=-10
Step-by-step explanation:
n+3=-7
n=-7-3
n=-10
this helps thank you
branlist please
Answer:
n = -10
Step-by-step explanation:
solving a one step equation with a missing variable
step 1: subtract 3 from both sides of the equation then simplify
ex: n + 3 - 3 = -7 - 3 (n = -10)
step 2: take your answer of n which is -10 and add plug it in into your original equation n + 3 = -7 and solve to check your answer
ex: n + 3 = -7 (-10 + 3 = -7)
add
-10 + 3 = -7
-7 = -7 (if both sides of the equation are the same numbers like -7 = -7 then your answer is true making n = -10 your answer) i would love to get brain if this is correct and helps <(^w^)>
The table below shows the number of red, blue, and white ribbons won by 4 girls during last years gymnastic season
Which girl had the largest ratio of red ribbons to her total ribbons?
Answers
Answer: B or D
Step-by-step explanation:
Karens ration is 5:15 whilst chens is 6:19
1/3 of 15 is gonna be 5, while 19 is gonna be around 6.3
I got 1/3 cause there is 3 colors, and red is one of them, since the question is asking about the total. I would be leaning more towards B though.
Answer:
Chen: 6/19
Step-by-step explanation:
Anne: 2/14 = 0.142
Karen: 5/15 = 0.133
Janice: 4/14 = 0.285
Chen: 6/19 = 0.316
At a garage sale, Curtis paid $20 for a box of 40 baseball cards. He plans to re-sell the cards for $4 each. If x is the number of cards that he can re-sell, then the equation y = -20 +4x can be used to determine Curtis's profit (y, in dollars).
Answers
Answer:
180
Step-by-step explanation:
Well, I'm not sure but maybe??
Determine what type of model best fits the given situation:
A. none of these
B. exponential
C. quadratic
D. linear
Reset Selection
Answers
Answer:
A. none of these
Step-by-step explanation:
It's an absolute value function such as : y = 3*| x-1 |
Work out 4 1/2 ÷3/5 give your answer as a mixed number in its simplest form
Answers
Answer:
7 1/2
Step-by-step explanation:
yw :)
A square metallic frame has a perimeter 208cm .It is bent in the shape of a circle. Find the area of the circle.
Answers
Answer:
676 pi
Step-by-step explanation:
208 ÷ 4 =52
(each length =52cm)
diameter = 52 cm
radius = 52÷2 = 26cm
area of circle = pi × radius ^2
pi × 26^2 = 676 pi
what is 9x² -4 in factored form. i just need more help understanding how to do this.
Answers
Answer:
the factored form of 9x²-4 is (3x-2)(3x+2)
