What is \(\tan\left(\frac{3\pi}{2}+\theta\right)\) equal to?
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Answer and explanation
Correct answer: -\(\cot \theta\)
With \(\frac{3\pi}{2}\), \(\tan \theta\) changes to \(\cot \theta\), and the sign is negative in the fourth quadrant. Therefore the answer is \(-\cot \theta\).
Frequently asked questions
What is the correct answer to this question?
-\(\cot \theta\)
Why is this the correct answer?
With \(\frac{3\pi}{2}\), \(\tan \theta\) changes to \(\cot \theta\), and the sign is negative in the fourth quadrant. Therefore the answer is \(-\cot \theta\).
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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