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            Math and Arithmetic
            Trigonometry

            How do you solve 2 sin squared theta equals 1?

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            Wiki User
            June 16, 2010 5:58AM

            first divide each side by 2 so you get...

            sine^2(X)=1/2

            Then make sine ^2(X)=sine(x^2)

            SO you get... sine(X^2)=1/2

            Then take the sine^-1 of each side it will look like this X^2=sine^-1(1/2)

            type the right side into a calc which will give you a gross decimal but it works (0.5235987756)

            so now you have

            X^2=0.5235987756

            then take the square root of each side to make it linear and you will get X=.7236012546

            and that is your answer!!!! make sure to check it on your calculator...I did and it worked

            * * * * *

            Not quite correct, I fear. Try this:

            Let s = sin θ.

            Then,

            2s2 = 1;

            s2 = ½; and

            s = ±½√2.

            Therefore,

            θ = 45°, 135°, 225°, or 315°;

            or, if you prefer,

            θ = ¼π, ¾π, 1¼π, or 1¾π.