WBJEE · Maths · Trigonometric Equations
General solution of \(\sin \mathrm{x}+\cos \mathrm{x}=\min _{a \in I R}\left\{1, a^2-4 a+6\right\}\) is
- A \(\frac{n \pi}{2}+(-1)^n \frac{\pi}{4}\)
- B \(2 n \pi+(-1)^n \frac{\pi}{4}\)
- C \(n \pi+(-1)^{n+1} \frac{\pi}{4}\)
- D \(n \pi+(-1)^n \frac{\pi}{4}-\frac{\pi}{4}\)
Answer & Solution
Correct Answer
(D) \(n \pi+(-1)^n \frac{\pi}{4}-\frac{\pi}{4}\)
Step-by-step Solution
Detailed explanation
Hints: \(\sin x+\cos x=\min _{x \in I R}\left\{1, a^2-4 a+6\right\}\)…
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