MATHEMATICS CLASS XII VOLUME-1>Chapter 4 - Inverse Trigonometric Functions>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 54

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12th CBSE

IMPORTANT

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The value of $\cot^{- 1} (- x)$ for all $x \in R$ in terms of $\cot^{- 1} x$ is $a ° - \cot^{- 1} x$ , then value of $a$ is

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Important Questions on Inverse Trigonometric Functions

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 4 - Inverse Trigonometric Functions>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 55

Write the value of

\cos (\frac{\tan^{- 1} x + \cot^{- 1} x}{3})

, when

x = - \frac{1}{\sqrt{3}}

. [Answer upto three decimal values]

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 4 - Inverse Trigonometric Functions>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 56

If

\cos (\tan^{- 1} x + \cot^{- 1} \sqrt{3}) = 0

, find the value of

x

.[Answer up to one decimal value]

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 4 - Inverse Trigonometric Functions>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 57

The value of

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

is

\frac{5 π}{a}

, then value of

a

is

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 4 - Inverse Trigonometric Functions>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 58

If

\cos (\sin^{- 1} \frac{2}{5} + \cos^{- 1} x) = 0

, find the value of

x

.[Answer up to one decimal value]

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 4 - Inverse Trigonometric Functions>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 59

The value of

\cos^{- 1} (\cos \frac{13 π}{6})

is degrees is [Answer without units]

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 4 - Inverse Trigonometric Functions>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 60

The value of

\tan^{- 1} (\tan \frac{9 π}{8})

in degrees is [Answer without units]

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 4 - Inverse Trigonometric Functions>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 61

The value of

\tan^{- 1} \sqrt{3} - \cot^{- 1} (- \sqrt{3})

in degrees is [Answer without units]

MEDIUM

12th CBSE

IMPORTANT

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

If

\tan^{- 1} \{\frac{\sqrt{1 + x^{2}} - \sqrt{1 - x^{2}}}{\sqrt{1 + x^{2}} + \sqrt{1 - x^{2}}}\} = α

, then

x^{2} =