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Class 12 Mathematics Trigonometric Functions Trigonometric functions and their propertiesMediumLevel 71

What is (\tan(\frac{3\pi}{2}+x)) equal to?

Answer and explanation

Correct answer: -(\cot x) / (-\cot x)

At (\frac{3\pi}{2}+x), (\tan) changes to (\cot) with a negative sign. Hence (\tan(\frac{3\pi}{2}+x)=-\cot x).

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allied-anglestangentcotangent

Frequently asked questions

What is the correct answer to this question?

-(\cot x) / (-\cot x)

Why is this the correct answer?

At (\frac{3\pi}{2}+x), (\tan) changes to (\cot) with a negative sign. Hence (\tan(\frac{3\pi}{2}+x)=-\cot 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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