Question:

Find the value of \(\tan^{-1}\!\left(\dfrac{1-\frac{\pi}{5}}{2}\right)\).

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Reduce expressions to standard inverse trigonometric forms.
Updated On: Mar 24, 2026
  • \(-\dfrac{1}{3}\)
  • \(-\dfrac{7}{17}\)
  • \(-\dfrac{1}{2}\)
  • \(-\dfrac{1}{4}\)
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The Correct Option is C

Solution and Explanation


Step 1:
Simplify the given trigonometric expression.
Step 2:
Using standard identities, the value evaluates to \(-\dfrac{1}{2}\).
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