# Plus Two Math's Solution Miscellaneous Chapter2 Inverse Trigonometric Functions

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 Board SCERT, Kerala Text Book NCERT Based Class Plus Two Subject Math's Textbook Solution Chapter Chapter 2 Exercise Miscellaneous Exercise Chapter Name Inverse Trigonometric Functions Category Plus Two Kerala

## Kerala Syllabus Plus Two Math's Textbook Solution Chapter  2 Inverse Trigonometric Functions Miscellaneous Exercise

### Chapter  2  Inverse Trigonometric Functions Solution

Kerala plus two maths NCERT textbooks, we provide complete solutions for the exercise and answers provided at the end of each chapter. We also cover the entire syllabus given by the Board of secondary education, Kerala state.

### Chapter  2  Inverse Trigonometric Functions Miscellaneous Exercise

Prove

Consider, $\left&space;(&space;\frac{\sqrt{1+sinx}+\sqrt{1-sinx}&space;}{\sqrt{1+sinx}-\sqrt{1-sinx}}&space;\right&space;)$

Prove

L.H.S = $tan^{-1}\frac{1}{5}+tan^{-1}\frac{1}{7}+tan^{-1}\frac{1}{3}+tan^{-1}\frac{1}{8}$

Prove

test

Prove

Now, we have:

Prove

Using (1) and (2), we have

Solveis equal to

(A)  (B)  (C)  (D)

#### $\theta&space;=tan^{-1}(x)$

$tan^{-1}(x)=\theta$

$tan(\theta&space;)=x$

#### Hence option D

Solveis equal to

(A) (B). (C) (D)

Hence, the correct answer is C.

Find the value of

We know that cos−1 (cos x) = x if, which is the principal value branch of cos −1x.

Here,

Now, can be written as:

Find the value of

We know that tan−1 (tan x) = x if, which is the principal value branch of tan −1x.

Here,

Now, can be written as:

Prove

Now, we have:

Prove

Now, we have:

Prove

Now, we will prove that:

Prove

Let $x=tan^{2}\theta$ Then, $\sqrt{x}=tan\theta$

$\Rightarrow&space;\theta&space;=tan^{-1}\sqrt{x}$

Prove  [Hint: putx = cos 2Î¸]

Put $x=cos2\Theta$ so that $\theta&space;=\frac{1}{2}cos^{-1}x$, then we have

Solve

Solve

Solvethen x is equal to

(A)  (B)  (C) 0 (D)

Therefore, from equation (1), we have

Put x = sin y. Then, we have:

But, when, it can be observed that:

is not the solution of the given equation.

Thus, x = 0.

Hence, the correct answer is C.

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#### Plus Two Math's Chapter Wise Textbook Solution PDF Download

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