Answer :

LHS



= 3 sin 30° sec 60° - 4 sin 150° cot 45°


= 3 sin 30° sec 60° - 4 sin (90° × 1 + 60°)cot 45°


We know that when n is odd, sin cos.


= 3 sin 30° sec 60° - 4 cos 60° cot 45°


= 3 (1/2) (2) – 4 (1/2) (1)


= 3 – 2


= 1


= RHS


Hence proved.


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