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March 26, 2017

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Solve the following equation for
0 less than and/or equal to "x" less than and/or equal to 360

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cos^2x - 1 = sin^2x
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Attempt:
cos^2x - 1 - sin^2x = 0
cos^2x - 1 - (1 - cos^2x) = 0
cos^2x - 1 - 1 + cos^2x = 0
2cos^2x - 2 = 0
(2cos^2x/2)= (-2/2)
cos^2x = -1
cosx = square root of -1

And I can't do anything with this now...what am I doing wrong?


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Textbook answers:

0, 180, 360
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  • Math - Solving for Trig Equations - ,

    On the fourth/fifth line, you erred. When you add 2 to both sides, the right side is positive, not negative.

    cos^2 x=1
    cos x= +- 1
    giving 1, 180,360

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