
Carter M.
asked 03/27/171/1-cos^2 theta = 1 + cot^2 theta
Verify the Identity.
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1 Expert Answer

Paul F. answered 07/01/17
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Highly Experienced Physics, SAT Math and Calculus Tutor
1 / [1 - (cos x)2 ] = 1 + (cot x)2
1 - (cos x)2 = (sin x)2
and
1 + (cot x)2 = (csc x)2 a Pythagorean Identity
So ...
1 / (sin x)2 = (csc x)2
(csc x)2 = (csc x)2 q.e.d.
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Cristina S.
Is not the same thing!
1/(1-cos^2 θ)=1+(cos^2 θ)/sin^2 θ
1/sin ^2 θ = ( sin^2 θ+cos^2 θ)/sin^2 θ
Do you see it now?
03/27/17