(sin 120° / 16 cos 15°. cos 30°. cos 120°. cos 240°)² is
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Step-by-step explanation:
sin120
∘
cos150
∘
−cos240
∘
sin330
∘
=sin(90+30).cos(180−30)−cos(180+60).sin(360−30)
=cos30.(−cos30)−(−cos60).(−sin30)
=(
2
3
)(−
2
3
)−(−
2
1
)(−
2
1
)
=−
4
3
−
4
1
=−1
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