Question

Find the exact value of the equation for 0 10 years ago

Answer 1

To solve the equation, we'll apply the formula:

sin x = 2 sin x *cos x (1)

We'll substitute (1) in the given equation:

sin x - sin 2x=0

sin x - 2 sin x *cos x=0

We'll factorize by sin x:

sin x*(1- 2cos x)=0

We'll set the factors as 0:

sin x=0 or cos x =1/2

sin x =0 and x belongs to [0,2pi)

x=(-1)^k*arcsin0 + k*pi

x={0,pi}

cos x =1/2

x=+/-arccos (1/2)+2*k*pi

x={pi/3, 5pi/3}