SOLUTION: Solve the following equation given that 0° ≤ θ < 360° :
sin θ cos 2θ - cos 2θ = 0
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Question 967280: Solve the following equation given that 0° ≤ θ < 360° :
sin θ cos 2θ - cos 2θ = 0
Answer by ikleyn(52802) (Show Source): You can put this solution on YOUR website!
. - = 0,
. = .
Case 1. = 0.
The equation is satisfied at this value of .
Then = 90° or 270°.
Hence, = 45° or 135°.
Case 2. is not 0.
Then you can divide both sides of the equation
. = .
by . You will get
= 1.
The solution is = 90°. It is the only solution under the given condition 0° <= < 360°.
Answer. = 45°, 90° or 135°.
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