AP EAMCET · Maths · Trigonometric Ratios & Identities
\(\cos 13^{\circ} \sin 17^{\circ} \sin 21^{\circ} \cos 47^{\circ}=\)
- A \(\frac{1}{32}(1+\sqrt{2}-\sqrt{3})\)
- B \(\frac{1}{16}(1+\sqrt{3}+\sqrt{5})\)
- C \(\frac{1}{16}(2+\sqrt{3}-\sqrt{5})\)
- D \(\frac{1}{32}(1+2 \sqrt{3}-\sqrt{5})\)
Answer & Solution
Correct Answer
(D) \(\frac{1}{32}(1+2 \sqrt{3}-\sqrt{5})\)
Step-by-step Solution
Detailed explanation
\(\cos 13^{\circ} \sin 17^{\circ} \sin 21^{\circ} \cos 47^{\circ} = (\cos 13^{\circ} \cos 47^{\circ}) (\sin 17^{\circ} \sin 21^{\circ})\)…
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