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Class 12 Mathematics Trigonometric Functions Trigonometric functions and their propertiesMediumLevel 71

How can (\sec^2 x+\cosec^2 x) be written in terms of (\tan x) and (\cot x)?

Answer and explanation

Correct answer: (2+\tan^2 x+\cot^2 x)

Use (\sec^2 x=1+\tan^2 x) and (\cosec^2 x=1+\cot^2 x). The sum becomes (2+\tan^2 x+\cot^2 x).

Tags

trigonometric-identitiessecantcosecant

Frequently asked questions

What is the correct answer to this question?

(2+\tan^2 x+\cot^2 x)

Why is this the correct answer?

Use (\sec^2 x=1+\tan^2 x) and (\cosec^2 x=1+\cot^2 x). The sum becomes (2+\tan^2 x+\cot^2 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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