Question

solve by using double angle or half angle formula

1-cos4theta / sin4theta

Answer 1

is that $$1-\frac{\cos4\theta}{\sin4\theta}$$?

Answer 2

i think it should be\[\frac{1-\cos 4\theta}{\sin 4\theta}\]

Answer 3

ok lets start with this:\[\cos4\theta=1-2\sin ^{2}2\theta\]
\[\rightarrow 1-\cos4\theta=2\sin ^{2}2\theta\]
\[\sin4\theta=2\sin2\theta \cos2\theta\]
so then the equation will be:\[2\sin ^{2}2\theta \div 2\sin 2\theta \cos2\theta\]
which will give:
\[\sin2\theta \div \cos2\theta\]
which is :\[\tan2\theta\]
i think this is enough simplification..

Answer 4

thanks so much!