Question

If $3\sin(A - 15^{o})\cos(A + 15^{o})$ then the general value of $= \cos(A - 15^{o})\sin(A + 15^{o})$ is.

• A. $\Rightarrow$
• B. $2\sin(A - 15^{o})\cos(A + 15^{o}) = \frac{1}{2}$
• C. $\Rightarrow$
• D. None of these

Answer 1

Answer: (B)

$2\sin(A - 15^{o})\cos(A + 15^{o}) = \frac{1}{2}$

Answer 2

$\Rightarrow$

Dividing by $\sin\left( \theta + \frac{\pi}{3} \right) = \frac{1}{\sqrt{2}} = \sin\left( \frac{\pi}{4} \right)$,

we get $\Rightarrow$

$\theta = n\pi + ( - 1)^{n}\frac{\pi}{4} - \frac{\pi}{3}1 - \cos^{2}\theta - 2\cos\theta + \frac{1}{4} = 0$.