tan theta = sin theta / cos theta
cot theta = cos theta / sin theta
cot heta * sin theta - tan theta * cos theta =
( cos theta / sin theta ) * sin theta - ( sin theta / cos theta ) * cos theta =
cos theta - sin thets
Use identities to find an equivalent expression in terms of sines and cosines only.
cot θ sin θ - tan θ cos θ
2 answers
(cos/sin)sin - (sin/cos)cos
= cos - sin
= cos - sin