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3 years ago

What is the answer to this math problem?

Mathematics

1 answer:

ladessa [460]3 years ago

8 0

My answer was d and I've got this question in my math book and that's what I answered

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<img src="https://tex.z-dn.net/?f=Evaluate%3A%20%5Csqrt%7B%20%5Cfrac%20%7B1%20-%20sin%28x%29%7D%7B1%20%2B%20sin%28x%29%E2%80%8B%

stealth61 [152]

$\large\underline{\sf{Solution-}}$

We have to evaluate the given expression.

$\rm = \sqrt{ \dfrac{1 - \sin(x) }{1 + \sin(x) } }$

If we multiple both numerator and denominator by 1 - sin(x), then the value remains same. Let's do that.

$\rm = \sqrt{ \dfrac{[1 - \sin(x)][1 - \sin(x) ]}{[1 + \sin(x)][1 - \sin(x) ]} }$

$\rm = \sqrt{ \dfrac{[1 - \sin(x)]^{2}}{1- \sin^{2} (x) } }$

We know that:

$\rm \longmapsto { \sin}^{2}(x) + \cos^{2}(x) = 1$

$\rm \longmapsto \cos^{2}(x) = 1 - { \sin}^{2}(x)$

Therefore, the expression becomes:

$\rm = \sqrt{ \dfrac{[1 - \sin(x)]^{2}}{\cos^{2} (x)}}$

$\rm = \dfrac{1 - \sin(x)}{\cos(x)}$

$\rm = \dfrac{1}{\cos(x)} - \dfrac{ \sin(x) }{ \cos(x) }$

$\rm = \sec(x) - \tan(x)$

7 0

2 years ago

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I’m a lil confused...help??!?

Olegator [25]

Answer:

the answer is b hope you have fun

7 0

3 years ago

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40 POINTS !! 40 POINTS !! PLEASE HELP , DONT SKIP ! NO LINKS OR FILES.

Viktor [21]

Answer:

36?

Step-by-step explanation:

split in two, triangle 6x6=36/2=18, rectangle 6x3=18, whole 18+18=36 your answer is 36

3 0

2 years ago

What is the measure of? angle PQR [Not drawn to scale) -51 -55 -74 -78

soldi70 [24.7K]

Given:

The exterior angle P is 74°

The measure of ∠PRQ is 51°

We need to determine the measure of ∠PQR

Measure of ∠QPR:

From the figure, it is obvious that P is the intersection of the two lines.

The angle 74° and ∠QPR are vertically opposite angles.

Since, vertically opposite angles are always equal, then the measure of ∠QPR is 74°

Thus, the measure of ∠QPR is 74°

Measure of ∠PQR:

The measure of ∠PQR can be determined using the triangle sum property.

Thus, we have;

$\angle PQR+\angle QPR+\angle PRQ=180^{\circ}$

Substituting the values, we get;

$\angle PQR+74^{\circ}+51^{\circ}=180^{\circ}$

$\angle PQR+125^{\circ}=180^{\circ}$

$\angle PQR=55^{\circ}$

Thus, the measure of ∠PQR is 55°

Hence, Option B is the correct answer.

4 0

3 years ago

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URGENT PLEASE HELP x/240 = 82/100 what is X?

Zielflug [23.3K]

x/240 = 82/100

240 : 100 = 2.4

so 240 is divided with 2,4 giving 100, this will work with 82 too. So, 82 × 2.4 = 196,8

Answer : x = 196,8

prove :

196,8/240 = 82/100 = 41/50

see the picture

7 0

3 years ago

Read 2 more answers