AKUEB Class 11 (HSSC-I) Mathematics Inverse Trigonometric Functions and Trigonometric Equations MCQs & Practice Questions

Class 11 - Mathematics / Unit 10 - Inverse Trigonometric Functions and Trigonometric Equations / 10.3 Trigonometric Equations / 10.3.2

Past Paper 2024HARD

The solution set of $3\cot x = \sqrt{3}$ in the interval of $[0, 2\pi]$ will be

\left\{\dfrac{\pi}{3}, \dfrac{4\pi}{3}\right\}

\left\{\dfrac{\pi}{3}, \dfrac{7\pi}{6}\right\}

\left\{\dfrac{\pi}{3}+n\pi\right\} \cup \left\{\dfrac{4\pi}{3}+n\pi\right\}

\left\{\dfrac{\pi}{3}+n\pi\right\} \cup \left\{\dfrac{7\pi}{6}+n\pi\right\}

Class 11 - Mathematics / Unit 10 - Inverse Trigonometric Functions and Trigonometric Equations / 10.3 Trigonometric Equations / 10.3.2

Past Paper 2025MEDIUM

The general solution of $\sin x - 1 = 0$ is

\dfrac{\pi}{2} + 2n\pi

\dfrac{\pi}{2} + n\pi

\pi + 2n\pi

\pi + n\pi

Class 11 - Mathematics / Unit 10 - Inverse Trigonometric Functions and Trigonometric Equations / 10.1 Inverse Trigonometric Functions / 10.1.1

Past Paper 2025MEDIUM

The equation $a\tan^{-1}(b) = \sin^{-1}(c)$ will become $\tan\left(\dfrac{x}{a}\right) = b$ , when $\sin^{-1}(c)$ is substituted by

x

ax

\dfrac{a}{x}

\dfrac{x}{a}

Class 11 - Mathematics / Unit 10 - Inverse Trigonometric Functions and Trigonometric Equations / 10.3 Trigonometric Equations / 10.3.1

Model Paper 2026HARD

Fill in the blanks:

Find the solution set of the trigonometric equation

\sin 2x=\cos x

, when

0\leq x\leq 2\pi

.
The solution set, in ascending order, is

\{

,,,

\}

Class 11 - Mathematics / Unit 10 - Inverse Trigonometric Functions and Trigonometric Equations / 10.2 Inverse Trigonometric Identities / 10.2.1

Model Paper 2026MEDIUM

Evaluate $\tan^{-1}(1)-\tan^{-1}(2)$

\tan^{-1}\left(-\dfrac{1}{3}\right)

\tan^{-1}\left(\dfrac{1}{3}\right)

\tan^{-1}(-3)

\tan^{-1}(3)

Class 11 - Mathematics / Unit 10 - Inverse Trigonometric Functions and Trigonometric Equations / 10.1 Inverse Trigonometric Functions / 10.1.2

Model Paper 2026EASY

The range of $\tan^{-1}x$ is

[0,\pi]

\left(-\dfrac{\pi}{2},\dfrac{\pi}{2}\right)

\left[-\dfrac{\pi}{2},\dfrac{\pi}{2}\right]

(-\pi,\pi)

Class 11 - Mathematics / Unit 10 - Inverse Trigonometric Functions and Trigonometric Equations / 10.3 Trigonometric Equations / 10.3.1

Model Paper 2026MEDIUM

If $\tan x=-1$ , where $x\in[0,\pi]$ , then $x$ will be

0

\dfrac{\pi}{4}

\dfrac{\pi}{2}

\dfrac{3\pi}{4}

Class 11 - Mathematics / Unit 10 - Inverse Trigonometric Functions and Trigonometric Equations / 10.3 Trigonometric Equations / 10.3.1

Model Paper 2026MEDIUM

A trigonometric equation is given as $\cot x=p$ . If $p$ is undefined, then the value of $x$ is

0

\dfrac{\pi}{2}

\dfrac{\pi}{4}

also undefined

Inverse Trigonometric Functions and Trigonometric Equations - Class 11 (HSSC-I) Mathematics