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What is \(\cot\left(\frac{\pi}{2}+\theta\right)\) equal to?

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Answer and explanation

Correct answer: -\(\tan \theta\)

The cofunction of \(\cot \theta\) is \(\tan \theta\), and the sign is negative in the second quadrant. In such questions, first identify the cofunction.

Tags

trigonometric-functionscofunctioncotangent

Frequently asked questions

What is the correct answer to this question?

-\(\tan \theta\)

Why is this the correct answer?

The cofunction of \(\cot \theta\) is \(\tan \theta\), and the sign is negative in the second quadrant. In such questions, first identify the cofunction.

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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