SOLUTION: Solve the equation on the interval: O < or equal to Theta < 2 pi. Tan(2Theta) = -1

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Question 439122: Solve the equation on the interval: O < or equal to Theta < 2 pi.
Tan(2Theta) = -1

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Solve the equation on the interval: O < or equal to Theta < 2 pi.
Tan(2Theta) = -1
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Take the tan^-1 of both sides to get:
2*theta = tan^1(-1)
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2theta = (3/4)pi or 2theta = (7/4)pi or 2theta = (11/4)pi or 2theta = (15/4)pi
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theta = (3/8)pi or (7/8)pi or (11/8)pi or (15/8)pi
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Cheers,
Stan H.

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