Question

If cos b = √3/2: show that 3sinb - 4sin^3b =1

Answer 1

Step-by-step explanation:

$\cos(b) = \frac{ \sqrt{3} }{2} = > b = \frac{\pi}{6} = > 3b = \frac{\pi}{2}$

$3 \sin(b) - 4 {(sin(b))}^{3} = \sin(3b) = >$

$\sin( \frac{\pi}{2} ) = 1$

Hope it helps you.