If cos x = $\frac{3}{5}$, then find the value of sin x - sin3 x.
Answer & explanation
Correct answer: option 4
cosx = \(\frac{3 }{5}\)
{ cosx = \(\frac{B }{H}\) }
P² + B² = H²
P² + 3² = 5²
P = 4
Now,
sinx - sin³x
= \(\frac{4 }{5}\) - (\(\frac{4 }{5}\))³
= \(\frac{4 }{5}\) - \(\frac{64 }{125}\)
=\(\frac{100 - 64 }{125}\)
=\(\frac{36 }{125}\)
= 0.288