Find all solutions to the equation 4sin(x)cos(x)=2sqrt(2)cos(x)
2 answers
dividing by 4 cos(x) ... sin(x) = √2 / 2
I will interpret your 4sin(x)cos(x)=2sqrt(2)cos(x) as
4sinx*cosx=2√2*cos(x)
4 sinx cosx - 2√2 cosx = 0
cosx(4sinx - 2√2) = 0
cosx = 0 ----> x = π/2, 3π/2 ( or 90°, 270°)
or
sinx = 2√2/4 = √2/2 ----> x = π/4 or 3π/4 (or 45°, 135°)
4sinx*cosx=2√2*cos(x)
4 sinx cosx - 2√2 cosx = 0
cosx(4sinx - 2√2) = 0
cosx = 0 ----> x = π/2, 3π/2 ( or 90°, 270°)
or
sinx = 2√2/4 = √2/2 ----> x = π/4 or 3π/4 (or 45°, 135°)
2 answers