MHT CET · Maths · Trigonometric Equations
The principal solution of \((5+3 \sin \theta)(2 \cos \theta+1)=0\) are
- A \(\frac{-\pi}{3}, \frac{2 \pi}{3}\)
- B \(\frac{2 \pi}{3}, \frac{5 \pi}{3}\)
- C \(\frac{2 \pi}{3}, \frac{4 \pi}{3}\)
- D \(\frac{2 \pi}{3}, \frac{7 \pi}{3}\)
Answer & Solution
Correct Answer
(C) \(\frac{2 \pi}{3}, \frac{4 \pi}{3}\)
Step-by-step Solution
Detailed explanation
\((5+3 \sin \theta)(2 \cos \theta+1)=0\) \(5+3 \sin \theta = 0 \implies \sin \theta = -\frac{5}{3}\) (No solution)
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