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If (\sin^2 x=\frac{1}{4}) and (x) is in the first quadrant, what is the value of (\cos x)?

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Answer and explanation

Correct answer: (\frac{\sqrt{3}}{2})

(\cos^2 x=1-\frac{1}{4}=\frac{3}{4}). In the first quadrant, (\cos x=\frac{\sqrt{3}}{2}) is taken.

Tags

identityfirst-quadrantstandard-values

Frequently asked questions

What is the correct answer to this question?

(\frac{\sqrt{3}}{2})

Why is this the correct answer?

(\cos^2 x=1-\frac{1}{4}=\frac{3}{4}). In the first quadrant, (\cos x=\frac{\sqrt{3}}{2}) is taken.

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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