CBSE Class 12 Mathematics 2026 Main Paper 65(B) · Q71 Marksinverse_trig_derivatives
CBSE Class 12 Mathematics 2026 Main Paper 65(B) · Question 7 (Continuity And Differentiability)
Differentiate arctan((1−cos x)/sin x) on regular intervals.
✅ Step-by-Step Solution
Final Answer: 1/2
- The ratio is tan(x/2). The principal arctangent differs from x/2 by a locally constant multiple of π, so its local derivative is 1/2.
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