If cos A-3-4- then find the value of 32sin A-2 sin 5A-2

The value of #160;32sin #160;( A / 2 #160;) sin #160;( 5A / 2 #160;) =16( cos 2A cos 3A #160;) =16( 2cos ^ 2 A 1 4cos ^ 3 A ...

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Properties Derived from Trigonometric Identities

If cos A=3/...

Question

If $cos A = 3 / 4,$ then find the value of $32 sin (\frac{A}{2}) sin (\frac{5 A}{2})$

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cos A = 3 / 4

16 {cos}^{2} (A / 2) - 32 sin (A / 2) sin (5 A / 2)

cos A = \frac{3}{4}

32 sin \frac{A}{2} sin \frac{5 A}{2}

c o s A = 3 / 4

987 [16 c o s^{2} (A / 2) - 32 s i n (A / 2) s i n (5 A / 2)

cos A = \frac{3}{4} \Rightarrow 32 sin (\frac{A}{2}) sin (\frac{5 A}{2}) =

cos A = \frac{3}{4}

2 sin \frac{A}{2} sin \frac{5 A}{2} =

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