AP EAMCET · Maths · Trigonometric Equations
If \(0 \leq x \leq 2 \pi\), then the number of real values of \(x\), which satisfy the equation \(\sin x+\sin 2 x+\sin 3 x+\sin 4 x=0\) is
- A 9
- B 7
- C 3
- D 5
Answer & Solution
Correct Answer
(A) 9
Step-by-step Solution
Detailed explanation
\(\sin x+\sin 2 x+\sin 3 x+\sin 4 x=0\) \((\sin x+\sin 4 x)+(\sin 2 x+\sin 3 x)=0\) \(2 \sin \left(\frac{5x}{2}\right) \cos \left(\frac{3x}{2}\right) + 2 \sin \left(\frac{5x}{2}\right) \cos \left(\frac{x}{2}\right) = 0\)…
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