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10 questions from this quiz
a⋅(trig)2+b⋅(trig)+c=0a \cdot (\text{trig})^2 + b \cdot (\text{trig}) + c = 0a⋅(trig)2+b⋅(trig)+c=0
Let u=sinθu = \sin\thetau=sinθ and substitute
(2u+1)(u−1)=0(2u + 1)(u - 1) = 0(2u+1)(u−1)=0
cosθ\cos\thetacosθ must be between −1-1−1 and 111
θ=90°,210°,330°\theta = 90°, 210°, 330°θ=90°,210°,330°
u=−b±b2−4ac2au = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}u=2a−b±b2−4ac
θ=60°,120°,240°,300°\theta = 60°, 120°, 240°, 300°θ=60°,120°,240°,300°
0°0°0° to 360°360°360° or 000 to 2π2\pi2π radians
sin2(θ)\sin^2(\theta)sin2(θ)
cosθ=1\cos\theta = 1cosθ=1 only
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