tan-x-4-cos-2x-cot-2x-

Question Number 103823 by bobhans last updated on 17/Jul/20

\tan (x) = 4 \cos (2 x) - \cot (2 x)

Answered by Dwaipayan Shikari last updated on 17/Jul/20

\frac{s i n x}{c o s x} = c o s 2 x (4 - \frac{1}{s i n 2 x})

\frac{s i n x}{c o s x} = \frac{2 s i n 4 x - c o s 2 x}{2 s i n x c o s x}

2 {s i n}^{2} x = 2 s i n 4 x - c o s 2 x

1 - c o s 2 x = 2 s i n 4 x - c o s 2 x

s i n 4 x = \frac{1}{2}

4 x = 2 k π + {(- 1)}^{k} \frac{π}{6}

x = \frac{k π}{2} \pm \frac{π}{24} = (12 k \pm 1) \frac{π}{24} = {k, m \in Z (g e n e r a l s o l u t i o n

Answered by bobhans last updated on 17/Jul/20

Facebook Tweet Pin