SOLUTION: please help me solve this trigonometric equation: sec(theta) = tan(theta) + cot(theta)

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Question 294211: please help me solve this trigonometric equation: sec(theta) = tan(theta) + cot(theta)
Found 2 solutions by stanbon, Alan3354:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
I don't think that is true.
Cheers,
Stan H.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
sec(theta) = tan(theta) + cot(theta)
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Multiply by cos
1 = sin + (cos^2)/sin
1 = sin + (1-sin^2)/sin
sin = sin^2 + 1 - sin^2
sin = 1
theta = 90 degs
theta = pi/2 + 2n*pi, n = 0,1,2,...
But, all 3 terms, sec, tan and cot are undefined at 90 degs, so there's no solution.
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infinity = infinity + infinity