Question

Please solve this...​

Answer 1

tan²∅-sin²∅ (take tan²∅ common)

= tan²∅(1-sin²∅/tan²∅)

=tan²∅ (1- sin²∅/sin²∅/cos²∅) (tan∅= sin∅/cos∅)

=tan²∅(1- sin²∅/1 × cos²∅/sin²∅)

= tan²∅(1-cos²∅)

= tan²∅(sin²∅)

= tan²∅×sin²∅

= R.H.S