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Class 12 Mathematics Trigonometric Functions Trigonometric functions and their propertiesMediumLevel 71

What is the simplified value of (\frac{\sin x-\sin^3 x}{\cos^2 x})?

Answer and explanation

Correct answer: (\sin x)

Write the numerator as (\sin x(1-\sin^2 x)). Since (1-\sin^2 x=\cos^2 x), the value is (\sin x).

Tags

simplificationsineidentity

Frequently asked questions

What is the correct answer to this question?

(\sin x)

Why is this the correct answer?

Write the numerator as (\sin x(1-\sin^2 x)). Since (1-\sin^2 x=\cos^2 x), the value is (\sin x).

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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