SOLUTION: Solve the following equations given that 0° &#8804; &#952; < 360° : A) cos^2 &#952; - 1 = 0 B) 2 sin &#952; cos &#952; = cos &#952; Thank You

Algebra ->  Trigonometry-basics -> SOLUTION: Solve the following equations given that 0° &#8804; &#952; < 360° : A) cos^2 &#952; - 1 = 0 B) 2 sin &#952; cos &#952; = cos &#952; Thank You      Log On


   



Question 967031: Solve the following equations given that 0° ≤ θ < 360° :
A) cos^2 θ - 1 = 0
B) 2 sin θ cos θ = cos θ
Thank You

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the following equations given that 0° ≤ θ < 360° :
A) cos^2 θ - 1 = 0
cos^2 θ=1
cos θ=±√1=±1
θ=0, 180˚
..
B) 2 sin θ cos θ = cos θ
divide both sides by cos θ
2sin θ=1
sin θ=1/2
θ=30˚, 150˚