prove that can you please prove and explain it plz

Answer:
Step-by-step explanation:
LHS = Sin² ∅ + Sin² ∅*tan² ∅
= Sin² ∅ [1 + tan² ∅ ] {Sec² ∅ - tan² ∅ = 1}
= Sin² ∅ *Sec² ∅
= Sin² ∅ * [tex]\frac{1}{Cos^{2} }[/tex]
= Sin² ∅ /Cos² ∅
= tan² ∅ = RHS