Question

show that cosec square thetha -tan square ( 90 - thetha ) =sin square thetha + sin ( 90 - thetha )

Answer 1

LHS = cosec square theta - tan square(90-theta)

        = cosec square theta - cot square theta

as- cosec square theta - cot square theta = 1

LHS = 1................................................

RHS = sin square theta + sin square(90-theta)

          = sin square theta + cos square theta

as- sin square + cos sqare theta = 1

RHS =1

THUS LHS = RHS

HENCE PROVED

HOPE IT HELPS