Find the value of \(\frac{\sin 35^\circ}{\cos 55^\circ} + \frac{\cos 28^\circ}{\sin 62^\circ} - 2\cos^2 60^\circ\).
A. \(\frac{3}{2}\)
B. 1
C. \(\frac{1}{2}\)
D. 2
1 answer
Best answer
Answer: A. \(\frac{3}{2}\)
Answer: (A) \(\frac{3}{2}\)
\(\cos 55^\circ = \sin 35^\circ\) and \(\sin 62^\circ = \cos 28^\circ\) (complementary angles), so the first two terms are 1 each.
\(2\cos^2 60^\circ = 2 \times \frac{1}{4} = \frac{1}{2}\). Value \(= 2 - \frac{1}{2} = \frac{3}{2}\).
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· 27 Oct 2026
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