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Class 12 Mathematics Trigonometric Functions Trigonometric functions and their propertiesMediumLevel 70

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

Answer and explanation

Correct answer: (\cosec x)

(\cos(\frac{\pi}{2}-x)=\sin x), so (\sec(\frac{\pi}{2}-x)=\frac{1}{\sin x}=\cosec x). Complementary angles give cofunctions.

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cofunction-identitiessecantcosecant

Frequently asked questions

What is the correct answer to this question?

(\cosec x)

Why is this the correct answer?

(\cos(\frac{\pi}{2}-x)=\sin x), so (\sec(\frac{\pi}{2}-x)=\frac{1}{\sin x}=\cosec x). Complementary angles give cofunctions.

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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