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Writing 75° as 45° + 30°, the value of sin 75° comes out as

A(√6 − √2) / 4
B(√3 + 1) / 4
C(√6 + √2) / 4
D(√3 − 1) / 2
Answer & Solution
Correct answer: C. (√6 + √2) / 4
sin75° = sin45° cos30° + cos45° sin30° = (√3 + 1)/(2√2) = (√6 + √2)/4.
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