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What is (\tan(5\pi+\theta)) equal to?

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Answer and explanation

Correct answer: (\tan \theta)

The fundamental period of (\tan \theta) is (\pi), and (5\pi) is a multiple of the period, so the value does not change. In exams simplify tangent by removing multiples of (\pi).

Tags

trigonometric-functionsperiodicitytangent

Frequently asked questions

What is the correct answer to this question?

(\tan \theta)

Why is this the correct answer?

The fundamental period of (\tan \theta) is (\pi), and (5\pi) is a multiple of the period, so the value does not change. In exams simplify tangent by removing multiples of (\pi).

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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