Math, asked by Ansuselina, 1 year ago

Solve : cos24 + cos55 + cos155 + cos204 + cos300

Answers

Answered by kSidd1
1
cos24+cos55+cos155+cos204+cos300 =cos738
Answered by Anonymous
2

L.H.S. = cos24+cos204+cos55 + cos155 +cos300

= cos 24 + cos (180+24) + sin (90-55) + cos (90+65) + cos (360-60)  [ cos x = sin (90-x)]

= cos 24 - cos 24 + sin 35 - sin 65 + cos 60

= (cos 24 - cos 24) + (sin 35 - sin 65 )+ cos 60

= 0 - sin 30 + cos 60 

= -1/2 + 1/2

= 0

Hence 0 is answer


Ansuselina: how can you directly subtract sin35 - sin 65...?
Ansuselina: Hello there..!!
Ansuselina: sin(90-65)= cos 65 .....then how come cos65 - sin65 = 0
Ansuselina: cos 65 - sin65 = sin 30 ...sry*
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