AP EAMCET · Maths · Trigonometric Equations
The general solution of the equation \(\sin ^2 \theta+3 \cos ^2 \theta=5 \sin \theta\) is
- A \(n \pi \pm \frac{\pi}{3}, n \in Z\)
- B \(n \pi+(-1)^{\mathrm{n}} \frac{\pi}{6}, n \in Z\)
- C \(n \pi \pm \frac{\pi}{6}, n \in Z\)
- D \(n \pi+(-1)^n \frac{\pi}{3}, n \in Z\)
Answer & Solution
Correct Answer
(B) \(n \pi+(-1)^{\mathrm{n}} \frac{\pi}{6}, n \in Z\)
Step-by-step Solution
Detailed explanation
\(\sin ^2 \theta+3\left(1-\sin ^2 \theta\right)=5 \sin \theta\)…
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