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What is the value of sin 75° + sin 15°? |
$\frac{1}{\sqrt{2}}$ $\frac{\sqrt{3}}{2}$ $\sqrt{\frac{3}{2}}$ $\frac{3}{\sqrt{2}}$ |
$\sqrt{\frac{3}{2}}$ |
sin 75° + sin 15° = cos 15° + sin 15° let cos 15° + sin 15° = x on squaring both side cos215° + sin215° + 2 sin 15 . cos 15 = x2 1 + sin 2 ( 15°) = x2 1 + sin30° =x2 1 + \(\frac{1}{2 }\) = x2 \(\frac{3}{2 }\) = x2 x = $\sqrt{\frac{3}{2}}$
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