Math, asked by sashu7, 8 months ago

cos^2 1+cos^2 2 +cos^2 3+............+cos^2 90​

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Answered by dhanudhanush97020
1

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Answered by amitsnh
2

cos^2 1 + cos^2 2 + ........+ cos^2 89 + cos^2 90

(cos^2 1 + cos^2 89) + (cos^2 2 + cos^2 88) +........ + (cos^2 44 + cos^2 46) + cos^2 45 + cos^2 90

(sin^2 89 + cos^2 89) + (sin^2 88 + cos^2 88) +.........+ (sin^2 46 + cos^2 46) + cos^2 45 + cos^2 90

= 1 + 1 + .....44 terms+ 1/2 + 0

= 44 + 1/2

= 44.50

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