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Class 12 Mathematics Trigonometric Functions Trigonometric functions and their propertiesHardLevel 70

If (\tan \theta+\cot \theta=4), what is the value of (\tan^2\theta+\cot^2\theta)?

Answer and explanation

Correct answer: (14)

We use ((\tan \theta+\cot \theta)^2=\tan^2\theta+\cot^2\theta+2). Hence the value is (16-2=14).

Tags

trigonometric-functionsidentitytangent

Frequently asked questions

What is the correct answer to this question?

(14)

Why is this the correct answer?

We use ((\tan \theta+\cot \theta)^2=\tan^2\theta+\cot^2\theta+2). Hence the value is (16-2=14).

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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