If y = tan⁻¹((cos x)/(1 + sin x)), then dy/dx is:
If y = tan⁻¹((cos x)/(1 + sin x)), then dy/dx is:
- A. −1/2
- B. 1/2
- C. 1
- D. −1
Answer: A) −1/2
Explanation: cos x/(1+sin x) = tan(π/4 − x/2). So y = π/4 − x/2, dy/dx = −1/2.
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