Question

ANSWER the Question

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Answer 1

Answer:

Use identities ,

sin2∅ = 2sin∅.cos∅

cos2∅ = 2cos²∅ -1

( sin∅ + sin2∅)/(1 + cos∅ + cos2∅)

=( sin∅ + 2sin∅.cos∅)/(1 + cos∅ +2cos²∅ -1)

=sin∅( 1+ 2cos∅)/cos∅( 1 +2cos∅)

=tan∅ = RHS