Sin 780°.Sin120°+Cos240°.Sin390°=1/2
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Naveen Sharma 8 years, 4 months ago
Ans. Sin780°.Sin120°+Cos240°.Sin390°=12
Taking LHS
Sin780°.Sin120°+Cos240°.Sin390°
=> Sin(2×360°+60°).Sin(180°−60°)+Cos(180°+60°).Sin(360°+30°)
=>Sin(4π+60°).Sin(π−60°)+Cos(π+60°).Sin(2π+30°)
=> Sin60°.Sin60°−Cos60°.Sin30°
=> √32.√32−12.12=34−14
=> 24=12=RHS
Hence Proved
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