Cos510cos330+sin390cos120
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Answered by
0
Answer:
what is this
Step-by-step explanation:
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Answered by
1
Answer:
Step-by-step explanation:
Hi ,
1 ) cos 510 = cos ( 360 + 150 )
= Cos 150
= Cos ( 180 - 30 )
= - cos 30°
2 ) cos 330° = cos ( 360 - 30 )
= Cos 30
3 ) sin 390 = sin( 360 + 30 )
= Sin 30
4 ) cos 120 = cos ( 90 + 30 )
= - sin 30°
Now ,
Cos 510 cos 330 + sin390 cos 120
= ( -cos 30°)(cos 30°)+(sin30°)(-sin30°)
= - cos² 30° - sin² 30°
= - ( cos² 30° + sin² 30° )
= -1
I hope this helps you
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