Question 823288
Verify 1/ (tan alpha + cot alpha)= sin alpha cos alpha
{{{1/(tan(x)+cot(x))=sin(x)cos(x)}}}
start with left side:
{{{1/(tan(x)+cot(x))=1/((sin(x)/cos(x))+(cos(x)/sin(x)))=1/((sin^2(x)+cos^2(x))/(sin(x)cos(x)))=1/(1/(sin(x)cos(x)))=sin(x)cos(x)}}}
verified: left side=right side