Question-164434

Question Number 164434 by mathlove last updated on 17/Jan/22

Answered by TheSupreme last updated on 17/Jan/22

2 f (s i n (x)) - f (c o s (x)) = 3 x

2 f (c o s (x)) - f (s i n (x)) = 3 (\frac{π}{2} - x)

3 f (s i n (x)) = 6 x - 3 (\frac{π}{2} - x)

f (s i n (x)) = 9 x - \frac{3}{2} π

f (t) = 9 a r c s i n (x) - \frac{3}{2} π + 2 k π

f (t a n (x)) = 9 a r c s i n (t a n (x)) - \frac{3}{2} π + 2 k π

f (s i n (2 x)) = 8 x - \frac{3}{2} π + 2 k π