Question 1070743
solve tan theta/2= csc^2 theta - cot^2 theta on the interval [0, 2pi)
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Assuming it's tan(theta/2):
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tan(t/2) = csc(t) - cot(t) = csc^2(t) - cot^2(t)
csc(t) - cot(t) = (csc(t) - cot(t))*(csc(t) + cot(t))
csc + cot = 1
1 + cos = sin
--> theta = pi/2, pi
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The pi radians solution is rejected, since csc(pi) & tan(pi/2) are undefined.