Prove
Sin²35+sin²55-tan²45=0
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sin²35 + sin²55 - tan²45 = 0
L.H.S = sin²35 + sin²55 - tan²45
= {sin35}² + sin²55 - tan²45
= {sin(90-55)}² + sin²55 - tan²45
= {cos55}² + sin²55 - tan²45
=cos²55 + sin²55 - 1
= 1-1
= 0 = R.H.S
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