SOLUTION: solve tan theta/2= csc^2 theta - cot^2 theta on the interval [0, 2pi)
I tried using the half angle identity and setting it equal to the other side of the equation but I ended up
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-> SOLUTION: solve tan theta/2= csc^2 theta - cot^2 theta on the interval [0, 2pi)
I tried using the half angle identity and setting it equal to the other side of the equation but I ended up
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Question 1070743: solve tan theta/2= csc^2 theta - cot^2 theta on the interval [0, 2pi)
I tried using the half angle identity and setting it equal to the other side of the equation but I ended up getting stuck at sin theta/ root(1+ cos theta) Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! 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.
