Prove thatsin 2- - 8- A - 2-sin 2- - 8- A - 2-sin- - 4 - sin A

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Composite Function

Prove thatsin...

Question

Prove that
sin ²(π/8 + A/2) - sin² (π/8 - A/2) = sin π/4 * sin A

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Prove that:

$s i n^{2} (\frac{π}{8} + \frac{A}{2}) - s i n^{2} (\frac{π}{8} - \frac{A}{2}) = \frac{1}{\sqrt{2}} s i n A$

{sin}^{2} (\frac{π}{8} + \frac{A}{2}) - {sin}^{2} (\frac{π}{8} - \frac{A}{2}) = \frac{1}{\sqrt{2}} sin A

s i n^{2} (\frac{π}{8} + \frac{A}{2}) - s i n^{2} (\frac{π}{8} - \frac{A}{2}) = \frac{1}{\sqrt{2}} s i n A

c o s^{2} 45^{o} - s i n^{2} 15^{o}

A + B + C = π

s i n \frac{A}{2} + s i n \frac{B}{2} + s i n \frac{C}{2} - 1 = 4 s i n \frac{π - 4}{4} . s i n \frac{π - B}{4} . s i n \frac{π - C}{4}

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