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

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

5 practice questions for this chapter, gradeable instantly.

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

Model Paper 2025HARD

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 2025MEDIUM

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 2025EASY

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 2025MEDIUM

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 2025MEDIUM

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