# SOLUTION: What is sin(2&#952;)sin&#952;=cos&#952; using the interval 0 &#8804; &#952; < 2 &#960;?

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 Click here to see ALL problems on Trigonometry-basics Question 585139: What is sin(2θ)sinθ=cosθ using the interval 0 ≤ θ < 2 π?Found 2 solutions by Alan3354, lwsshak3:Answer by Alan3354(30993)   (Show Source): You can put this solution on YOUR website!What is sin(2θ)sinθ=cosθ using the interval 0 ≤ θ < 2 π? ------- It's a question about trigonometry. Answer by lwsshak3(6494)   (Show Source): You can put this solution on YOUR website!What is sin(2θ)sinθ=cosθ using the interval 0 ≤ θ < 2 π? ** sin(2θ)sinθ=cosθ 2sinθcosθsinθ=cosθ 2sinθcosθsinθ-cosθ=0 cosθ(2sin^2θ-1)=0 cosθ=0 θ=π/2 and 3π/2 or 2sin^2θ-1=0 sin^2θ=1/2 sinθ=±1/√2=±√2/2 θ=π/4 and 3π/4 (in quadrants I and II where sin>0) and 5π/4 and 7π/4 (in quadrants II and IV where sin<0) .. θ=π/2, 3π/2, π/4, 3π/4, 5π/4 and 7π/4