How do you simplify $sin theta + cot theta cos theta$ ?

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Answer 1 · 2016-07-19T01:03:36

$csc theta$

$sin theta + cot theta cos theta$

$= sin theta + (cos theta/sin theta) cos theta$ (Since $cot theta = 1/tan theta = cos theta/sin theta$ )

$= (sin^2 theta + cos^2 theta) / sin theta$

$= 1/sin theta$ (Since $sin^2 theta + cos^2 theta =1$ )

$=csc theta$

How do you simplify sin theta + cot theta cos theta sin theta + cot theta cos theta ?