Quiz about Inverse Trigonometric Functions

Question 1

$$	ext {Assertion (A): The domain of the function }\sec ^{-1} 2 x is (-\infty,-\frac{1}{2}] \cup[\frac{1}{2}, \infty)$$

$${Reason}({R}): \sec ^{-1}(-2)=-\frac{\pi}{4}$$

Accepted Answer

Covalent bond

Answer

A is true but $$R$$ is false.

Answer

Both $${A}$$ and $${R}$$ are true and $${R}$$ is the correct explanation of $${A}$$.

Answer

Both $${A}$$ and $${R}$$ are true but $${R}$$ is not the correct explanation of $${A}$$.

Answer

A is false but $${R}$$ is true.

Question 2

Find the value of $$\sin ^{-1}[\sin (\frac{13 \pi}{7})]$$

Accepted Answer

Covalent bond

Answer

$$-\frac{\pi}{7}$$

Answer

$$-\frac{\pi}{9}$$

Answer

$$-\frac{\pi}{5}$$

Answer

$$-\frac{\pi}{3}$$

Inverse Trigonometric Functions Cbse Class 12 Maths Problems and Solutions