Find the value of sin 750 cos 300° + cos 1470" sin (-1020)
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sin 750° cos 300° + cos 1470°sin (-1020°) = 1
Step-by-step explanation:
sin 750° cos 300° + cos 1470°sin (-1020°)
= sin(720° + 30°) Cos(360° - 60°) + Cos(1440° + 30°)(-Sin(1020°)
Sin( n * 360 + x) = Sinx Sin( n * 360 - x) = -Sinx
Cos( n * 360 + x) = Cosx Cos( n * 360 - x) = Cosx
Sin(-x) = -Sinx
= sin(2*360°° + 30°)Cos(360° - 60°) + Cos(4*360° + 30°)(-Sin(1080° - 60°)
= Sin30° Cos 60° + Cos30 Sin60
Sin(A + B) = SinACosB + CosASinB
= Sin(30° + 60°)
= Sin90°
= 1
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12
Answer:
The answer is 1.
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