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Class 12 Mathematics Trigonometric Functions Trigonometric functions and their propertiesHardLevel 70

What is (\tan x+\cot x) equal to?

Answer and explanation

Correct answer: ( \sec x\cosec x )

We have (\tan x+\cot x=\frac{\sin x}{\cos x}+\frac{\cos x}{\sin x}). Simplifying gives (\frac{1}{\sin x\cos x}=\sec x\cosec x).

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trigonometric-functionssimplificationtangent

Frequently asked questions

What is the correct answer to this question?

( \sec x\cosec x )

Why is this the correct answer?

We have (\tan x+\cot x=\frac{\sin x}{\cos x}+\frac{\cos x}{\sin x}). Simplifying gives (\frac{1}{\sin x\cos x}=\sec x\cosec 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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