The simplified form of tan⁻¹((cos x − sin x) / (cos x + sin x)) for x in (0, π/2) is:
The simplified form of tan⁻¹((cos x − sin x) / (cos x + sin x)) for x in (0, π/2) is:
- A. π/4 − x
- B. π/4 + x
- C. x − π/4
- D. π/2 − x
Answer: A) π/4 − x
Explanation: Divide numerator and denominator by cos x to get (1 − tan x)/(1 + tan x) = tan(π/4 − x). Thus, the value is π/4 − x.
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