Question #4f033

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Question #4f033

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Answer 1 · 2017-04-01T05:35:05

$\frac{5 π}{12}, \frac{7 π}{12}$ $(5pi)/12, (7pi)/12$

Explanation:

$sin 2 t = - \frac{1}{2}$ $sin 2t = - 1/2$
Trig table gives:
a. $sin 2 t = - \frac{1}{2}$ $sin 2t = - 1/2$ --> $2 t = - \frac{π}{6}$ $2t = - pi/6$ , or $2 t = \frac{5 π}{6}$ $2t = (5pi)/6$ (co-terminal)
$x = \frac{5 π}{12}$ $x = (5pi)/12$
b. Trig unit circle gives another arc 2x that has the same sin value:
$2 x = π - (- \frac{π}{6}) = π + \frac{π}{6} = \frac{7 π}{6}$ $2x = pi - (-pi/6) = pi + pi/6 = (7pi)/6$
$x = \frac{7 π}{12}$ $x = (7pi)/12$

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Question #4f033

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