Find the value of sin 75° - Vidyadip

Question

Find the value of sin 75°

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Answer

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

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