Inverse Trigonometric Functions
NCERT Class 12
CBSE
Grade 12
Question:
Write the principal value of $\tan^{-1}\left(\tan \dfrac{3\pi}{4}\right)$.
Step-by-Step Solution
$\tan(3\pi/4) = \tan(-\pi/4)$. [1.0 Mark]
Since $-\pi/4 \in (-\pi/2, \pi/2)$, principal value $= -\pi/4$. [1.0 Mark]
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🎯 Official CBSE Marking Scheme:
Transforming angle to principal branch: 1.0 Mark
Evaluating principal value $= -\pi/4$: 1.0 Mark
Correct Answer:
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