Question

Solve sin 75°?????????????

Answer 1

Sin 75°=0.9659....
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Answer 2

Hi !!!

sin 75° = sin ( 45° + 30° )

By using sin ( x + y ) = sin x × cos y + cos x × sin y

sin 75° = sin ( 45° + 30° ) = sin 45° cos 30° + cos 45° sin 30°

$= \frac{1}{ \sqrt{2} } \times \frac{ \sqrt{3} }{2} + \frac{ 1 }{ \sqrt{2} } \times \frac{1}{2} \\ \\ = \frac{ \sqrt{3} + 1 }{2 \sqrt{2} }$