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Math Help - Trig functions

  1. #1
    cassie
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    Trig functions

    If sin^2 of theta = 1/2 and pi< theta < 3pi/2 (quadrant III) then theta= ?

    I have no idea how to do these type of problems! Please Help!
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  2. #2
    Junior Member
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    <br />
\sin^2 \theta = \frac {1} {2}<br />
\Rightarrow \sin \theta= \frac {1}{\sqrt{2}}<br /> <br />
\Rightarrow \theta= -\frac {\pi} {4}<br /> <br />
\Rightarrow \theta= \pi + \frac{\pi}{4}<br /> <br />
\Rightarrow \theta= 5\frac{\pi}{4}<br />
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  3. #3
    vms
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    Quote Originally Posted by askmemath
    <br />
\sin^2 \theta = \frac {1} {2}<br />
\Rightarrow \sin \theta= \frac {1}{\sqrt{2}}<br /> <br />
\Rightarrow \theta= -\frac {\pi} {4}<br /> <br />
\Rightarrow \theta= \pi + \frac{\pi}{4}<br /> <br />
\Rightarrow \theta= 5\frac{\pi}{4}<br />
    sine of theta must be taken as negative sqaure root of half here.
    then the value of theta will be 5Pi/4
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