TS EAMCET · Maths · Trigonometric Equations
Number of solutions of the equation \(\sin ^2 \theta+2 \cos ^2 \theta-\sqrt{3} \sin \theta \cos \theta=2\) lying in the interval \((-\pi, \pi)\) is
- A \(2\)
- B \(3\)
- C \(4\)
- D \(5\)
Answer & Solution
Correct Answer
(B) \(3\)
Step-by-step Solution
Detailed explanation
\(\sin ^2 \\theta+2 \\cos ^2 \\theta-\\sqrt{3} \\sin \\theta \\cos \\theta=2\) \(1-\\cos ^2 \\theta+2 \\cos ^2 \\theta-\\sqrt{3} \\sin \\theta \\cos \\theta=2\) \(1+\\cos ^2 \\theta-\\sqrt{3} \\sin \\theta \\cos \\theta=2\)…
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