Solve each equation for all nonnegative values of theta less than 360 degrees: 3sin(theta/2)=2sin^2(theta/2)?

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Solve each equation for all nonnegative values of theta less than 360 degrees: 3sin(theta/2)=2sin^2(theta/2)?

Answers: 60, 180, 300 degrees

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Answer 1 · 2017-03-18T14:41:55

Wrong equation

Explanation:

$3sin (t/2) = 2sin^2 (t/2)$
$2sin^2 (t.2) - 3sin (t/2) = 0$
$sin (t/2)(2sin (t/2) - 3) = 0$
a. $sin (t/2) = 0$ --> $t/2 = 0, t/2 = pi, and t/2 = 2pi$
General answers --> $t = 2kpi$
b. $2sin (t/2) = 3$
$sin (t/2) = 3/2$ (rejected as > 1)

Note. The equation might have been misread. Check by calculator, these answers (60, 180, 300) are all wrong.

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Solve each equation for all nonnegative values of theta less than 360 degrees: 3sin(theta/2)=2sin^2(theta/2)?

Answers: 60, 180, 300 degrees

1 Answer

Explanation:

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