SOLUTION: Solve over [0,360): sin^2 theta = cos^2 theta + 1
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Question 603103: Solve over [0,360): sin^2 theta = cos^2 theta + 1
Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Solve over [0,360): sin^2 theta = cos^2 theta + 1
sin^2 theta - cos^2 theta - 1 = 0
sin^2 theta - cos^2 theta - sin^2 theta - cos^2 theta = 0
2cos^2 = 0
theta = 90 degs, 270 degs
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Solve over [0,360):
sin^2 theta = cos^2 theta + 1
-----
sin^2 = 1-sin^2) + 1
---------
2sin^2 = 2
sin^2 = 1
sin = +1 or sin = -1
theta = 90 degrees or theta = 270 degrees
===========================================
Cheers,
Stan H.
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