Class 12 Mathematics Inverse Trigonometric Functions Introduction to inverse trigonometric functions Easy Level 33

(\cos^{-1}\left\(\cos\frac{\pi}{4}\right\)) का मान क्या है?

What is the value of (\cos^{-1}\left\(\cos\frac{\pi}{4}\right\))?

Author: Muft Shiksha Editorial Team Published:
Explanation opens after your attempt
Correct Answer

A. \(\frac{\pi}{4}\)

Step 1

Concept

Since \(\frac{\pi}{4}\in[0,\pi]\), (\cos^{-1}\left\(\cos\frac{\pi}{4}\right\)=\frac{\pi}{4}). If the angle lies in the principal range, it remains unchanged.

Step 2

Why this answer is correct

The correct answer is A. \(\frac{\pi}{4}\). Since \(\frac{\pi}{4}\in[0,\pi]\), (\cos^{-1}\left\(\cos\frac{\pi}{4}\right\)=\frac{\pi}{4}). If the angle lies in the principal range, it remains unchanged.

Step 3

Exam Tip

\(\frac{\pi}{4}\in[0,\pi]\) है इसलिए (\cos^{-1}\left\(\cos\frac{\pi}{4}\right\)=\frac{\pi}{4})। प्रधान सीमा में कोण हो तो वही उत्तर आता है।

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Mathematics Answer, Explanation and Revision Hints

(\cos^{-1}\left\(\cos\frac{\pi}{4}\right\)) का मान क्या है? / What is the value of (\cos^{-1}\left\(\cos\frac{\pi}{4}\right\))?

Correct Answer: A. \(\frac{\pi}{4}\). Explanation: \(\frac{\pi}{4}\in[0,\pi]\) है इसलिए (\cos^{-1}\left\(\cos\frac{\pi}{4}\right\)=\frac{\pi}{4})। प्रधान सीमा में कोण हो तो वही उत्तर आता है। / Since \(\frac{\pi}{4}\in[0,\pi]\), (\cos^{-1}\left\(\cos\frac{\pi}{4}\right\)=\frac{\pi}{4}). If the angle lies in the principal range, it remains unchanged.

Which concept should I revise for this Mathematics MCQ?

Since \(\frac{\pi}{4}\in[0,\pi]\), (\cos^{-1}\left\(\cos\frac{\pi}{4}\right\)=\frac{\pi}{4}). If the angle lies in the principal range, it remains unchanged.

What exam hint can help solve this Mathematics question?

\(\frac{\pi}{4}\in[0,\pi]\) है इसलिए (\cos^{-1}\left\(\cos\frac{\pi}{4}\right\)=\frac{\pi}{4})। प्रधान सीमा में कोण हो तो वही उत्तर आता है।