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

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Answer and explanation

Correct answer: \(-\frac{\sqrt{7}}{4}\)

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

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identityquadrantssine

Frequently asked questions

What is the correct answer to this question?

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

Why is this the correct answer?

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

Which subject and chapter does this question cover?

This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Trigonometric functions and their properties.

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