allerysin(75°) =
A1/2
B(√6 - √2)/4
Csqrt(3)/2
D(√6 + √2)/4 (sum formula: sin 75° = sin(45° + 30°))
Answer & Solution
Correct answer: D. (√6 + √2)/4 (sum formula: sin 75° = sin(45° + 30°))
We have sin(45° + 30°) = sin45 cos30 + cos45.
Then sin30 = (√2/2)(√3/2) + (√2/2)(1/2).
So sin30 = (√6 + √2)/4.
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