Question

SinQ/cotQ+cosecQ=2 + sinQ/cotq-cosecQ​

Answer 1

Solution:

LHS =(sin(q))/(cot(q))+csc(q)

=(sin(q))/(cot(q))+csc(q)

=sin(q)((sin(q))/(cos(q)))+(1/(sin(q)))

=(sin^3(q)+cos(q))/(cos(q)sin(q))

=sec(q)csc(q)(sin^3(q)+cos(q))-> (1)

RHS =2+(sin(q))/(cot(q))-csc(q)