How do you find the values of theta given sintheta=1/2?

2 Answers
ali ergin
Mar 16, 2017

theta=pi/6 " or "theta=30^o

Explanation:

"if " sin theta=1/2

"then " arc sin(1/2)=theta

theta=pi/6 " or "theta=30^o

Nghi N.
Mar 17, 2017

pi/6 + 2kpi
(5pi)/6 + 2kpi

Explanation:

sin t = 1/2
Trig table of special arcs gives:
t = pi/6 + 2kpi
Trig unit circle gives another t that has the same sin value -->
t = pi - pi/6 = (5pi)/6 + 2kpi

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