Medium Mathematics Trigonometric Functions Class 11 Level 70

यदि \(\cos^2 x=\frac{9}{16}\) और (x) चौथे चतुर्थांश में है, तो \(\sin x\) का मान क्या है?

If \(\cos^2 x=\frac{9}{16}\) and (x) is in the fourth quadrant, what is the value of \(\sin x\)?

Explanation opens after your attempt
Correct Answer

B. \(-\frac{\sqrt{7}}{4}\)

Step 1

Concept

\(\sin^2 x=1-\frac{9}{16}=\frac{7}{16}\). In the fourth quadrant, \(\sin x\) is negative.

Step 2

Why this answer is correct

The correct answer is B. \(-\frac{\sqrt{7}}{4}\). \(\sin^2 x=1-\frac{9}{16}=\frac{7}{16}\). In the fourth quadrant, \(\sin x\) is negative.

Step 3

Exam Tip

\(\sin^2 x=1-\frac{9}{16}=\frac{7}{16}\) होता है। चौथे चतुर्थांश में \(\sin x\) ऋणात्मक होता है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(\cos^2 x=\frac{9}{16}\) और (x) चौथे चतुर्थांश में है, तो \(\sin x\) का मान क्या है? / If \(\cos^2 x=\frac{9}{16}\) and (x) is in the fourth quadrant, what is the value of \(\sin x\)?

Correct Answer: B. \(-\frac{\sqrt{7}}{4}\). Explanation: \(\sin^2 x=1-\frac{9}{16}=\frac{7}{16}\) होता है। चौथे चतुर्थांश में \(\sin x\) ऋणात्मक होता है। / \(\sin^2 x=1-\frac{9}{16}=\frac{7}{16}\). In the fourth quadrant, \(\sin x\) is negative.

Which concept should I revise for this Mathematics MCQ?

\(\sin^2 x=1-\frac{9}{16}=\frac{7}{16}\). In the fourth quadrant, \(\sin x\) is negative.

What exam hint can help solve this Mathematics question?

\(\sin^2 x=1-\frac{9}{16}=\frac{7}{16}\) होता है। चौथे चतुर्थांश में \(\sin x\) ऋणात्मक होता है।

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