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Class 12 Mathematics Trigonometric Functions Trigonometric functions and their propertiesMediumLevel 70

What is (\cosec(\frac{\pi}{2}-x)) equal to?

Answer and explanation

Correct answer: (\sec x)

(\sin(\frac{\pi}{2}-x)=\cos x), so (\cosec(\frac{\pi}{2}-x)=\frac{1}{\cos x}=\sec x). Use reciprocal and cofunction identities together.

Tags

cofunction-identitiescosecantsecant

Frequently asked questions

What is the correct answer to this question?

(\sec x)

Why is this the correct answer?

(\sin(\frac{\pi}{2}-x)=\cos x), so (\cosec(\frac{\pi}{2}-x)=\frac{1}{\cos x}=\sec x). Use reciprocal and cofunction identities together.

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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