cos55°+cos65° +cos75°=2cos40°cos35°
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Answer:
Formula used:
cosC + cosD
= 2 cos((C+D)/2) cos((C-D)/2)
cos 55° + cos 65° + cos 175°
= cos 55° + (cos 65° + cos 175°)
= cos 55° +
2 cos((65° + 175° )/2) cos((65° -175° )/2)
= cos 55° + 2 cos(120° ) cos(-55°)
= cos 55° + 2 (-1/2 ) cos(-55°)
= cos 55° - cos55°
= 0
HOPE IT HELPS U.
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