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Inverse Trigonometric Functions

NCERT Exemplar Class 12

CBSE

Grade 12

Question:

The principal value of $\tan^{-1}(-1)$ is:
(a) $-\dfrac{\pi}{4}$
(b) $\dfrac{3\pi}{4}$
(c) $\dfrac{\pi}{4}$
(d) $-\dfrac{3\pi}{4}$

Step-by-Step Solution

-\tan^{-1}(1) = -\pi/4. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Selecting $-\pi/4$: 1.0 Mark

Correct Answer: $-\dfrac{\pi}{4}$

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