यदि \(\cos^{-1}x=\frac{\pi}{3}\) हो तो (x) का मान क्या है?

If \(\cos^{-1}x=\frac{\pi}{3}\), what is the value of (x)?

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

A. \(\frac{1}{2}\)

Step 1

Concept

Taking \(\cos\) on both sides gives \(x=\cos\frac{\pi}{3}=\frac{1}{2}\). The angle lies in the principal range so the answer is valid.

Step 2

Why this answer is correct

The correct answer is A. \(\frac{1}{2}\). Taking \(\cos\) on both sides gives \(x=\cos\frac{\pi}{3}=\frac{1}{2}\). The angle lies in the principal range so the answer is valid.

Step 3

Exam Tip

दोनों तरफ \(\cos\) लेने पर \(x=\cos\frac{\pi}{3}=\frac{1}{2}\) है। कोण प्रधान सीमा में है इसलिए उत्तर मान्य है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(\cos^{-1}x=\frac{\pi}{3}\) हो तो (x) का मान क्या है? / If \(\cos^{-1}x=\frac{\pi}{3}\), what is the value of (x)?

Correct Answer: A. \(\frac{1}{2}\). Explanation: दोनों तरफ \(\cos\) लेने पर \(x=\cos\frac{\pi}{3}=\frac{1}{2}\) है। कोण प्रधान सीमा में है इसलिए उत्तर मान्य है। / Taking \(\cos\) on both sides gives \(x=\cos\frac{\pi}{3}=\frac{1}{2}\). The angle lies in the principal range so the answer is valid.

Which concept should I revise for this Mathematics MCQ?

Taking \(\cos\) on both sides gives \(x=\cos\frac{\pi}{3}=\frac{1}{2}\). The angle lies in the principal range so the answer is valid.

What exam hint can help solve this Mathematics question?

दोनों तरफ \(\cos\) लेने पर \(x=\cos\frac{\pi}{3}=\frac{1}{2}\) है। कोण प्रधान सीमा में है इसलिए उत्तर मान्य है।