SOLUTION: Solve the following equations for 0c≤ x ≤ 180
a) 3sinθ = 2cosθ
b) sinθ - 4cosθ = 0
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-> SOLUTION: Solve the following equations for 0c≤ x ≤ 180
a) 3sinθ = 2cosθ
b) sinθ - 4cosθ = 0
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Question 1118671: Solve the following equations for 0c≤ x ≤ 180
a) 3sinθ = 2cosθ
b) sinθ - 4cosθ = 0 Found 2 solutions by t0hierry, greenestamps:Answer by t0hierry(194) (Show Source):
You can put this solution on YOUR website! 3 sin(theta) = 2 cos(theta)
9sin^2 theta = 4 cos^2 theta
9sin^2 theta = 4(1 - sin^2 theta)
13 sin^2 theta = 4
sin theta = 2/sqrt(13)
sin theta = 4 cos theta
sin^2 theta = 16 cos^2 theta
sin^2 theta = 16 - 16 sin^2 theta
17 sin^2 theta = 16
sin theta = 4/sqrt(17)
