cos(t) - cos(t)*sin2(t) = cos(t)*[1 - sin2(t)]
But [1 - sin2(t)] = cos2(t)
So, the expression = cos(t)*cos2(t) = cos3(t)
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No. Cos squared x is not the same as cos x squared. Cos squared x means cos (x) times cos (x) Cos x squared means cos (x squared)
It is cotangent(theta).
cosec(q)*cot(q)*cos(q) = 1/sin(q)*cot(q)*cos(q) = cot2(q)
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It is cos2x that is, "cos-squared x".