NCERT Exemplar Mathematics - Class 12>Chapter 2 - Inverse Trigonometric Functions>EXERCISE>Q 48

MEDIUM

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 $k π - \cot^{- 1} x$ , then $k =$

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Important Questions on Inverse Trigonometric Functions

EASY

12th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 12>Chapter 2 - Inverse Trigonometric Functions>EXERCISE>Q 49

All trigonometric functions have inverse over their respective domains.

EASY

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IMPORTANT

NCERT Exemplar Mathematics - Class 12>Chapter 2 - Inverse Trigonometric Functions>EXERCISE>Q 50

The value of the expression

{(\cos^{- 1} x)}^{2}

is equal to

\sec^{2} x

.

EASY

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IMPORTANT

NCERT Exemplar Mathematics - Class 12>Chapter 2 - Inverse Trigonometric Functions>EXERCISE>Q 51

The domain of trigonometric functions can be restricted to any one of their branch (not necessarily principal value) in order to obtain their inverse functions.

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IMPORTANT

NCERT Exemplar Mathematics - Class 12>Chapter 2 - Inverse Trigonometric Functions>EXERCISE>Q 52

The least numerical value, either positive or negative of angle

θ

is called principal value of the inverse trigonometric function.

EASY

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IMPORTANT

NCERT Exemplar Mathematics - Class 12>Chapter 2 - Inverse Trigonometric Functions>EXERCISE>Q 53

The graph of inverse trigonometric function can be obtained from the graph of their corresponding trigonometric function by interchanging

x

and

y

-axes.

EASY

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IMPORTANT

NCERT Exemplar Mathematics - Class 12>Chapter 2 - Inverse Trigonometric Functions>EXERCISE>Q 54

The minimum value of

n

for which

\tan^{- 1} \frac{n}{π} > \frac{π}{4}, n \in N

is valid is

5

.

EASY

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IMPORTANT

NCERT Exemplar Mathematics - Class 12>Chapter 2 - Inverse Trigonometric Functions>EXERCISE>Q 55

The principal value of

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

is

\frac{π}{3}

.