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Class 12 Mathematics Trigonometric Functions Trigonometric functions and their propertiesMediumLevel 71

If (\tan x=\frac{1}{2}), what is the value of (\frac{1-\tan^2 x}{1+\tan^2 x})?

Answer and explanation

Correct answer: (\frac{3}{5})

Put (\tan^2 x=\frac{1}{4}). Then the value is (\frac{1-\frac{1}{4}}{1+\frac{1}{4}}=\frac{3}{5}).

Tags

tangentalgebraic-simplification

Frequently asked questions

What is the correct answer to this question?

(\frac{3}{5})

Why is this the correct answer?

Put (\tan^2 x=\frac{1}{4}). Then the value is (\frac{1-\frac{1}{4}}{1+\frac{1}{4}}=\frac{3}{5}).

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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