How do you find two solutions of the equations $sin θ = \frac{\sqrt{3}}{2}$ $sintheta=sqrt3/2$ ?

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How do you find two solutions of the equations $sin θ = \frac{\sqrt{3}}{2}$ $sintheta=sqrt3/2$ ?

1 Answer

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Answer 1 · 2018-03-05T04:16:52

$\frac{π}{3}; \frac{2 π}{3}$ $pi/3; (2pi)/3$

Explanation:

$sin t = \frac{\sqrt{3}}{2}$ $sin t = sqrt3/2$
Trig table and unit circle give 2 solutions:
$t = \frac{π}{3}$ $t = pi/3$ , and
$t = \frac{2 π}{3}$ $t = (2pi)/3$
For general answers, add $2 k π$ $2kpi$

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How do you find two solutions of the equations $sin θ = \frac{\sqrt{3}}{2}$ $sintheta=sqrt3/2$ ?

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How do you find two solutions of the equations $sin θ = \frac{\sqrt{3}}{2}$ $sintheta=sqrt3/2$ ?