MATHEMATICS CLASS XII VOLUME-1>Chapter 4 - Inverse Trigonometric Functions>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 25

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12th CBSE

IMPORTANT

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If, $\tan^{- 1} \frac{x + 1}{x - 1} + \tan^{- 1} \frac{x - 1}{x} = \tan^{- 1} (- 7)$ , then the value of $x$ is

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Important Questions on Inverse Trigonometric Functions

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12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 4 - Inverse Trigonometric Functions>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 26

If,

\cos^{- 1} x > \sin^{- 1} x

, then

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MATHEMATICS CLASS XII VOLUME-1>Chapter 4 - Inverse Trigonometric Functions>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 27

In, a

△ A B C

. if

C

is a right angle, then

\tan^{- 1} (\frac{a}{b + c}) + \tan^{- 1} (\frac{b}{c + a}) =

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MATHEMATICS CLASS XII VOLUME-1>Chapter 4 - Inverse Trigonometric Functions>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 28

The value of

\sin (\frac{1}{4} \sin^{- 1} \frac{\sqrt{63}}{8})

is

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12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 4 - Inverse Trigonometric Functions>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 29

\cot (\frac{π}{4} - 2 \cot^{- 1} 3) =

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IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 4 - Inverse Trigonometric Functions>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 30

If,

\tan^{- 1} (\cot θ) = 2 θ

then,

θ =

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IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 4 - Inverse Trigonometric Functions>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 31

If,

\sin^{- 1} (\frac{2 a}{1 + a^{2}}) + \cos^{- 1} (\frac{1 - a^{2}}{1 + a^{2}}) = \tan^{- 1} (\frac{2 x}{1 - x^{2}})

, where

a, x \in (0, 1)

, then, the value of

x

is

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 4 - Inverse Trigonometric Functions>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 32

The value of

\sin (2 (\tan^{- 1} 0.75))

is equal to

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12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 4 - Inverse Trigonometric Functions>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 33

If

x > 1

then

2 \tan^{- 1} x + \sin^{- 1} (\frac{2 x}{1 + x^{2}})

is equal to