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Class 12 Mathematics Trigonometric Functions Trigonometric functions and their propertiesMediumLevel 71

If (\sin x\cos x=\frac{1}{4}), what is the value of (\sin^4 x+\cos^4 x)?

Answer and explanation

Correct answer: (\frac{7}{8})

Use (\sin^4 x+\cos^4 x=1-2\sin^2 x\cos^2 x). Since (\sin^2 x\cos^2 x=\frac{1}{16}), the value is (\frac{7}{8}).

Tags

powersidentitysine-cosine

Frequently asked questions

What is the correct answer to this question?

(\frac{7}{8})

Why is this the correct answer?

Use (\sin^4 x+\cos^4 x=1-2\sin^2 x\cos^2 x). Since (\sin^2 x\cos^2 x=\frac{1}{16}), the value is (\frac{7}{8}).

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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