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

(\tan\left\(\cos^{-1}\frac{4}{5}\right\)) का मान क्या है?

What is the value of (\tan\left\(\cos^{-1}\frac{4}{5}\right\))?

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

A. \(\frac{3}{4}\)

Step 1

Concept

Let \(\theta=\cos^{-1}\frac{4}{5}\), then \(\cos\theta=\frac{4}{5}\) and \(\sin\theta=\frac{3}{5}\). Hence \(\tan\theta=\frac{3}{4}\).

Step 2

Why this answer is correct

The correct answer is A. \(\frac{3}{4}\). Let \(\theta=\cos^{-1}\frac{4}{5}\), then \(\cos\theta=\frac{4}{5}\) and \(\sin\theta=\frac{3}{5}\). Hence \(\tan\theta=\frac{3}{4}\).

Step 3

Exam Tip

मान लें \(\theta=\cos^{-1}\frac{4}{5}\), तब \(\cos\theta=\frac{4}{5}\) और \(\sin\theta=\frac{3}{5}\)। इसलिए \(\tan\theta=\frac{3}{4}\) होगा।

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Mathematics Answer, Explanation and Revision Hints

(\tan\left\(\cos^{-1}\frac{4}{5}\right\)) का मान क्या है? / What is the value of (\tan\left\(\cos^{-1}\frac{4}{5}\right\))?

Correct Answer: A. \(\frac{3}{4}\). Explanation: मान लें \(\theta=\cos^{-1}\frac{4}{5}\), तब \(\cos\theta=\frac{4}{5}\) और \(\sin\theta=\frac{3}{5}\)। इसलिए \(\tan\theta=\frac{3}{4}\) होगा। / Let \(\theta=\cos^{-1}\frac{4}{5}\), then \(\cos\theta=\frac{4}{5}\) and \(\sin\theta=\frac{3}{5}\). Hence \(\tan\theta=\frac{3}{4}\).

Which concept should I revise for this Mathematics MCQ?

Let \(\theta=\cos^{-1}\frac{4}{5}\), then \(\cos\theta=\frac{4}{5}\) and \(\sin\theta=\frac{3}{5}\). Hence \(\tan\theta=\frac{3}{4}\).

What exam hint can help solve this Mathematics question?

मान लें \(\theta=\cos^{-1}\frac{4}{5}\), तब \(\cos\theta=\frac{4}{5}\) और \(\sin\theta=\frac{3}{5}\)। इसलिए \(\tan\theta=\frac{3}{4}\) होगा।