sin²5°+sin²10°+....+sin²85°+cos²45°
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hi,
here. ^ means square
sin^5+sin^10+.....+sin^40+sin^45+sin^50+.....sin^80+sin^85+cos^45
since cos^B+sin^B=1, and sinA=cos(90-A)
=sin^5+sin^10+.....+sin^40+cos^40+cos^35+...+cos^10+cos^5+1
=1×(40/5)+1
=9=Ans.
here. ^ means square
sin^5+sin^10+.....+sin^40+sin^45+sin^50+.....sin^80+sin^85+cos^45
since cos^B+sin^B=1, and sinA=cos(90-A)
=sin^5+sin^10+.....+sin^40+cos^40+cos^35+...+cos^10+cos^5+1
=1×(40/5)+1
=9=Ans.
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