[tex]Evaluate: \sqrt{ \frac {1 - sin(x)}{1 + sin(x)​​}} \\ [/tex]


Solve this problem please..​​

Answers

Answer 1

[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]

Answer 2

[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..
[tex]Evaluate: \sqrt{ \frac {1 - Sin(x)}{1 + Sin(x)}} \\ [/tex]Solve This Problem Please..

Related Questions

GIVING BRAINLIST!!! SHORT QUESTION PLS ANSWER

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Answer:

Terms:4x, -2x

Coefficients:4, 2

Constant:3

(−m
2
+6)+(−4m
2
+7m+2)

Answers

Following are calculation to the given eqution:

Given:

[tex]\bold{(-m^2+6)+(-4m^2+7m+2)}[/tex]

To find:

Solve the equation.

Solution:

[tex]\to \bold{(-m^2+6)+(-4m^2+7m+2)}\\\\\to \bold{-m^2+6-4m^2+7m+2}\\\\\to \bold{-5m^2+7m+8}\\\\\to \bold{-1(5m^2-7m-8)}\\\\[/tex]

Therefore, the final solution is "[tex]-1(5 m^2-7m-8)[/tex]".

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brainly.com/question/12685776

Directions: Convert the equations from standard form to slope intercept form.

Answers

Answer:

Write in slope-intercept form, [tex]y=mx+b[/tex].

5. [tex]y=2x+7[/tex]

6. [tex]y=-\frac{5}{3} x+4[/tex]

7. [tex]y=x-1[/tex]

8. [tex]y=\frac{1}{3}x +5[/tex]

9. [tex]y=\frac{4}{5}x -2[/tex]

10. [tex]y=-\frac{7}{3}x + 6[/tex]

Answer this question I will try to give brainliest but I don't know how so no promises.

Answers

Answer:

d. 4x+12

Step-by-step explanation:

distribute the 4

4*x =4x

4*3=12

therefore its

4x+12

Answer:

D

Step-by-step explanation:

4(x+3)

(4 times x) + (4 times 3)

4x + 12 = D

An object is launched at 9.8 meters per second (m/s) from a 308.7-meter tall platform. The function that represents the object's height s at time t seconds after launch is
s(t) = −4.9t2 + 9.8t + 308.7,
where s is in meters. When does the object strike the ground?

Answers

this is the full answer for you're Q

please give me good

The time taken by the object to hit the ground will be 9 seconds.

What is a quadratic equation?

A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given that an object is launched at 9.8 meters per second (m/s) from a 308.7-meter tall platform. The function that represents the object's height s at time t seconds after launch is

s(t) = −4.9t²+ 9.8t + 308.7

To find the time taken put the function equal to zero.

−4.9t²+ 9.8t + 308.7 = 0

t² - 2t - 63 = 0

t² - 9t + 7t - 63 = 0

t ( t - 9 ) +7 ( t - 9 ) = 0

( t - 9 ) ( t + 7 ) = 0

t = 9 and -7(ignore)

t = 9 seconds

Therefore, the time taken by the object to hit the ground will be 9 seconds.

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#SPJ2

[(3x-2)(x+6)]-[(x-1)(2x)]=103 steps

Answers

Let's solve your equation step-by-step.

(3x−2)(x+6)−(x−1)(2x)=103

Step 1: Simplify both sides of the equation.

x2+18x−12=103

Step 2: Subtract 103 from both sides.

x2+18x−12−103=103−103

x2+18x−115=0

Step 3: Factor left side of equation.

(x−5)(x+23)=0

Step 4: Set factors equal to 0.

x−5=0 or x+23=0

x=5 or x=−23

Answer:

x=5 or x=−23

describe rule for pattern 10, 30, 90, …

Answers

Answer:

it go by 20 then 30

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Each term is 3 times the previous term, that is

30 = 10 × 3 = 30

90 = 30 × 3 = 90

There is a common ratio between consecutive terms meaning the sequence is geometric.

work out the surface area of this cylinder
8cm diameter
16.8cm height

Answers

surface area: 522.76cm

Solve the equation. ( − 6 ) ( − 2 ) ( − 1 ) =

Answers

Answer:

-12

Step-by-step explanation:

the answer is -12 because
-6 x -2 = 12
12 x -1 = -12

Hi, I was absent yesterday on my math class and I missed the whole lesson of yesterday , teacher gave us homework on delta math and I still quite do not understand how to solve it please help!


Answers

The answer is e^2x+3 = 2

find the measure of the indicated angle

Answers

Answer:

Angle A is also the measurement of 48 degrees because the dashes on the triangle lines indicate that they are the same.

Step-by-step explanation:

Giving brainlyest .... .....

Answers

Answer:

4.475 is the answer.

Step-by-step explanation:

also hide your tabs just in case ;)

Answer:

4.475 believe me i did k12 before plz give me brainlyiest explanation:

Can u help me with this please it’s due in 5 mins. Find value of x.

Answers

Answer:

x = 35°

Step-by-step explanation:

Co-interior angles add up to 180°, so:

2x + 43 + 2x - 3 = 180° (now, simplify)

4x + 40 = 180° (subtract 40 from both sides)

4x = 140° (divide both sides by 4)

x = 35°

Hope this helps!

Answer:

x=35

Step-by-step explanation:

given: two lines cut by a transversal to find x

solution: the given two angles are supplementary since they are consecutive interior angles.

(2x+43)+(2x-3)=180°

⇒ 4x+40=180°⇒4x=140°

⇒x=[tex]\frac{140}{4}[/tex]=35

hope this helps :)

-9 ÷ 7.2 as a decimal

Answers

your answer as a decimal is -1.25

Please someone brilliant answer this!!!
Eighteen plumbers can install 540 water lines in six weeks. How long will it take twelve plumbers to install the same number of lines?

Answers

It will take twelve (12) plumbers 9 weeks to install the same number of lines

From the question,

We have that, 18 plumbers can install 540 water lines in 6 weeks,

To determine how long it will take 12 plumbers to install the same number of lines,

First, we will determine how long it will take 1 plumber.

If 18 plumbers can install 540 water lines in 6 weeks

Then,

1 plumber will install 540 water lines in 18 × 6 weeks

18 × 6 weeks = 108 weeks

∴ It will take 1 plumber 108 weeks to install 540 water lines

Now, for the number of weeks it will take 12 plumbers

If 1 plumber can install 540 water lines in 108 weeks

Then,

12 plumbers will install 540 water lines in [tex]\frac{108}{12}[/tex] weeks

[tex]\frac{108}{12} = 9 \ weeks[/tex]

Hence, it will take twelve (12) plumbers 9 weeks to install the same number of lines

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A school had 180 boys and 240 girls attending

(a) What is the ratio of boys to girls?
(b) What is the ratio of girls to boys?
(c) What is the ratio of students to boys?
(d) What is the ratio of girls to students?

Answers

Answer:

a. ratio is 180:240

B. ratio is 240:180

C. ratio is 420:180

d. ratio is 240:420

Hope this helps!!

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]

1. Find the product of 4 X 2 X 3 two different ways.

Answers

Answer:

6 x 4

8 x 3

The product: 24

Hope This Helps! •v•

Step-by-step explanation:

Answer:

6 x 4

8 x 3

The product: 24 K12 is how i know thx bye! :D

what is the recurring decimal of 0.68​

Answers

Answer:

0.68 repeating as a fraction

0.68 repeating as a fraction

The volume of this cone is 540π. Work out the height,h, of the cone, radius=9cm

Answers

Answer:

h = 20

Step-by-step explanation:

540π = 1/3 . h . π . 9^2

get rid of π

540 = 1/3 . h . 9^2

multiply by 3 to get rid of 1/3

3 . 540 = h . 9^2

1620 = h . 81

divide by 81

1620/81 = h

20 = h

Hope that helps :)

Can someone pls help me :(( tysm if u do and i have 7 khan academy’s and there only 4 questions on each on can someone pls help me on them there all due by 12 tn and i dont know who else to ask for help tysm if u do:c

Answers

Answer:

-8

Step-by-step explanation:

I’ll substitute x for the blank space:

-2 = x + 6

-2 - 6 = x

x = -8

-8 + 6 = -2 ✅

(8.1 x 10⁻⁴) - (9.5 x 10⁻⁵)

Answers

Answer:

[tex]7.15*10^{-4}[/tex]

Step-by-step explanation:

[tex](8.1*10^{-4})-(9.5*10^{-5})=0.00081-0.000095\\\\=0.000715 = 7.15*10^{-4}[/tex]

Please I need help the question is angle sum theorem

Answers

Answer:

x=80, y=55

Step-by-step explanation:

x is on a line so 180-100=80

x= 80

angles of a triangle are 180 so 180-45-80=55

y=55

How to draw 0.15+0.36 using a quick picture

Answers

Answer:

heres my photo + answer

Step-by-step explanation:

0.15

+ 0.36

____

0.15
0.36
+——
0.51
There we go :)

The sum of two consecutive odd numbers is 1408. What are the numbers?
Put the smaller number first comma then the larger number.

Answers

Answer:

703,705

Step-by-step explanation:

divide 1408 by 2

add one for one number

subtract one for the other

Find an ordered pair (x, y) that is a solution to the equation
3x+y=7
(x,y) = 0.0
X 00
?

Answers

Answer:

(0, 7) is an ordered pair solution to 3x + y = 7

Step-by-step explanation:

Given the equation 3x + y = 7, find a solution (ordered pair).

There are an infinite number of possible solutions.  Let's focus on just one:

Let x = 0.  Then y = 7, and (0, 7) is an ordered pair solution to 3x + y = 7

Which table was created using the equation y=5x-4

Answers

The answer is B…………..
The answer is b. Cause your adding 5 on the output

Work out the area of a rectangle with base,b= 32mm and perimeter,P= 78mm.

Answers

Answer:

224

Step-by-step explanation:

b = 32, h = 7 is the solution to P = 78. Hence, 7*32 = 224 is the answer

May I please receive help?

Answers

Answer:

F=86°

G=75°

H=19°.........

What is the slope of the line on the graph?
Enter your answer in the box.

Please help me!

Answers

Answer:

6

Step-by-step explanation:

We can use the points on the line to find the slope

(0,-1) and (1,5)

Using the slope formula

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

   = (5 - -1)/(1-0)

   = (5+1)/(1-0)

    = 6/1

   = 6

Answer:

m = 6 units

Step-by-step explanation:

To get from point (0, -1) to point (1, 5) that are on the line we have to go up 6 units and 1 unit to the right

slope = rise /run = 6/ 1 = 6

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