How do you solve $cos θ sin θ = 3 cos θ$ $costhetasintheta=3costheta$ from $0 \leq θ \leq 360$ $0<=theta<=360$ ?

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How do you solve $cos θ sin θ = 3 cos θ$ $costhetasintheta=3costheta$ from $0 \leq θ \leq 360$ $0<=theta<=360$ ?

1 Answer

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Answer 1 · 2017-01-04T03:36:55

$90^{\circ}, 270^{\circ}$ $90^@, 270^@$

Explanation:

Bring equation to standard form
cos t.sin t - 3cos t = 0
cos t(sin t - 3) = 0
Use calculator and unit circle -->
a. cos t = 0 --> $t = 90^{\circ}$ $t = 90^@$ and $t = 270^{\circ}$ $t = 270^@$
b. sin t - 3 = 0 --> sin t = 3 (rejected because > 1)
Answers for (0, 360):
$90^{\circ}, 270^{\circ}$ $90^@, 270^@$

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How do you solve $cos θ sin θ = 3 cos θ$ $costhetasintheta=3costheta$ from $0 \leq θ \leq 360$ $0<=theta<=360$ ?

1 Answer

Explanation:

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How do you solve costhetasintheta=3costhetacosθsinθ=3cosθcosthetasintheta=3costheta from 0<=theta<=3600≤θ≤3600<=theta<=360?

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Explanation:

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How do you solve $cos θ sin θ = 3 cos θ$ $costhetasintheta=3costheta$ from $0 \leq θ \leq 360$ $0<=theta<=360$ ?