How do you prove $tan(1/2theta)=csctheta-cottheta$ ?

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Answer 1 · 2016-10-05T19:10:51

see below

$tan (1/2 theta)=csctheta-cottheta$

Left Side: $=tan (1/2 theta)$

$=(1-costheta)/sin theta$

$=1/sin theta - costheta/sin theta$

$=csc theta - cot theta$

$=$ Right Side

How do you prove tan(1/2theta)=csctheta-cotthetatan(1/2theta)=csctheta-cottheta?