TS EAMCET · Maths · Trigonometric Ratios & Identities
\(\frac{\cos 15^{\circ} \cos ^2 22 \frac{1}{2}^{\circ}-\sin 75^{\circ} \sin ^2 52 \frac{1}{2}^{\circ}}{\cos ^2 15^{\circ}-\cos ^2 75^{\circ}}=\)
- A \(1\)
- B \(\frac{1}{2}\)
- C \(\frac{1}{4}\)
- D \(\frac{1}{8}\)
Answer & Solution
Correct Answer
(C) \(\frac{1}{4}\)
Step-by-step Solution
Detailed explanation
\( \frac{\cos 15^{\circ} (\cos ^2 22 \frac{1}{2}^{\circ}-\sin ^2 52 \frac{1}{2}^{\circ})}{\cos ^2 15^{\circ}-\cos ^2 75^{\circ}} \) \( \cos ^2 A - \sin ^2 B = \cos(A+B)\cos(A-B) \)…
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