Write the expression in terms of sines andor cosines and the

Write the expression in terms of sines and/or cosines, and then simplify. csc beta + tan^2 beta csc beta 1/sin beta cos^2 beta cos beta - sin beta sin beta + cos beta/sin beta cos beta 1/sin beta cos beta

Solution

csc +tan²csc

=csc(1+tan²)

=csc(sec)².......................................................since sec²-tan²=1 is an identity

=(1_/sin)(1_/cos)²

=(1_/(sincos²))

option A