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Class 12 Mathematics Trigonometric Functions Trigonometric functions and their propertiesMediumLevel 71

If (\sin x-\cos x=\frac{1}{3}), what is the value of (\tan x+\cot x)?

Answer and explanation

Correct answer: (\frac{9}{4})

Squaring gives (1-2\sin x\cos x=\frac{1}{9}). Thus (\sin x\cos x=\frac{4}{9}) and (\tan x+\cot x=\frac{9}{4}).

Tags

sine-cosineidentitycotangent

Frequently asked questions

What is the correct answer to this question?

(\frac{9}{4})

Why is this the correct answer?

Squaring gives (1-2\sin x\cos x=\frac{1}{9}). Thus (\sin x\cos x=\frac{4}{9}) and (\tan x+\cot x=\frac{9}{4}).

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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