Question

find
the value
I sin330. Cos 120+ COS210- sin 300​

Answer 1

Answer:-

Sin 330°. Cos 120° + Cos 210° - Sin 300°

By changing the trigonometric ratios we get,

• Sin 330° = - Sin 30° = (-1/2)
• Cos 120° = - Cos 60° = (-1/2)
• Cos 210° = - Cos 30° = (-√3/2)
• Sin 300° = -Sin 60° = (-√3/2)

Therefore,

Sin 330°. Cos 120° + Cos 210° - Sin 300°

= (-1/2) * (-1/2) + (-√3/2) * (-√3/2)

= 1/4 + 3/4

= 4/4

= 1

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