Answer :
LHS 
= tan 720° - cos 270° - sin 150° cos 120°
= tan (90° × 8 + 0°) – cos (90° × 3 + 0°) – sin (90° × 1 + 60°) cos (90° × 1 + 30°)
We know that when n is odd, cos → sin and sin → cos.
= tan 0° - sin 0° - cos 60° [-sin 30°]
= tan 0° - sin ° + cos 60° sin 30°
= 0 – 0 + 1/2 (1/2)
= 1/4
= RHS
Hence proved.
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