AP EAMCET · Maths · Trigonometric Ratios & Identities
\(\begin{aligned} & \sin ^4 \frac{\pi}{8}+\sin ^4 \frac{2 \pi}{8}+\sin ^4 \frac{3 \pi}{8}+\sin ^4 \frac{4 \pi}{8} \\ & +\sin ^4 \frac{5 \pi}{8}+\sin ^4 \frac{6 \pi}{8}+\sin ^4 \frac{7 \pi}{8}=\end{aligned}\)
- A \(\frac{3}{2}\)
- B \(\frac{5}{2}\)
- C 3
- D \(\frac{7}{2}\)
Answer & Solution
Correct Answer
(C) 3
Step-by-step Solution
Detailed explanation
\(\begin{aligned} \sin ^4 \frac{\pi}{8}+\sin ^4 \frac{2 \pi}{8}+ & \sin ^4 \frac{3 \pi}{8}+\sin ^4 \frac{4 \pi}{8} \\ & +\sin ^4 \frac{5 \pi}{8}+\sin ^4 \frac{6 \pi}{8}+\sin ^4 \frac{7 \pi}{8}\end{aligned}\)…
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