How do you simplify the expression $sint-sintcos^2t$ ?

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Answer 1 · 2016-08-27T16:47:57

$sin t - sin t cos^2 t=sin^3 t$

Note that $sin^2 t + cos^2 t = 1$ for any $t$

Hence $1-cos^2 t = sin^2 t$

So we find:

$sin t - sin t cos^2 t$

$=sin t (1 - cos^2 t)$

$=sin t sin^2 t$

$=sin^3 t$

How do you simplify the expression sint-sintcos^2tsint-sintcos^2t?