Find the value Sin2 45o + Tan2 30o + 2sin 60o . Tan 30o
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refer the attachment
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1
Assuming that A and B are acute angles,
sin(A−B)=
2
1
⟹A−B=30 ---(1)
cos(A+B)=
2
1
⟹A+B=60 ---(2)
(1)+(2)
2A=90⟹A=45
∘
Hence B=15
∘
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