AP EAMCET · Maths · Trigonometric Ratios & Identities
\(\sin ^2 76^{\circ}+\sin ^2 16^{\circ}-\sin 76^{\circ} \sin 16^{\circ}=\)
- A \(0\)
- B \(\frac{1}{4}\)
- C \(\frac{3}{4}\)
- D \(\frac{4}{3}\)
Answer & Solution
Correct Answer
(C) \(\frac{3}{4}\)
Step-by-step Solution
Detailed explanation
Since, \(\sin ^2 76^{\circ}+\sin ^2 16^{\circ}-\sin 76^{\circ} \sin 16^{\circ}\) \(=\frac{1}{2}\left\{2 \sin ^2 76^{\circ}+2 \sin ^2 16^{\circ}-2 \sin 76^{\circ} \sin 16^{\circ}\right\}\)…
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