MATHEMATICS CLASS XII VOLUME-1>Chapter 4 - Inverse Trigonometric Functions>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 50

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12th CBSE

IMPORTANT

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What the value of the expression $\tan (\frac{\sin^{- 1} x + \cos^{- 1} x}{2})$ , when $x = \frac{\sqrt{3}}{2}$

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Important Questions on Inverse Trigonometric Functions

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 4 - Inverse Trigonometric Functions>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 51

Write the principal value of

\sin^{- 1} \{\cos (\sin^{- 1} \frac{1}{2})\}

in degrees? [ Answer without units]

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 4 - Inverse Trigonometric Functions>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 52

The set of values of

{cosec}^{- 1} (\frac{\sqrt{3}}{2})

is defined or undefined?

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 4 - Inverse Trigonometric Functions>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 53

The value of

\tan^{- 1} (\frac{1}{x})

for

x < 0

in terms of

\cot^{- 1} x

is

- a ° + \cot^{- 1} x

. 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 54

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

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]