Evaluate: 4(sin430° + cos460°) - 3(cos245°- sin290°)
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Answer:
4(sin430° + cos460°) - 3(cos245°- sin290°)
Step-by-step explanation:
4(sin430° + cos460°) - 3(cos245°- sin290°)
= 4( sin (360 + 70) + cos(360 + 100) ) - 3( cos(180 + 65) - sin(270 + 20))
= 4(sin70 + cos 100) - 3(- cos65 + cos20)
= 4( sin(90 -20)+ 4xcos (90 + 10) + 3 xcos65 - 3xcos20
= 4xcos20 - 4xsin10 + 3xcos65 - 3xcos20
= cos20 -4xsin10 + 3xcos65
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