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cos^(2) 9^(@)+cos^(2)18^(@)+cos^(2) 27^(...

`cos^(2) 9^(@)+cos^(2)18^(@)+cos^(2) 27^(@)+...+cos^(2)81^(@)=`

A

4

B

`9//2`

C

5

D

`11//2`

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AAKASH SERIES-TRIGONOMERTIC RATIOS-EXERCISE - I
  1. If tan theta =(1)/(sqrt(7)) and theta is an acute angle , then ("cos...

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  2. If alpha and beta are complementary angles then sin^(2)(90^(@)-alpha)+...

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  3. cos^(2) 9^(@)+cos^(2)18^(@)+cos^(2) 27^(@)+...+cos^(2)81^(@)=

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  4. sum(k=1)^3 cos^(2)((2k-1)(pi)/(12))=

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  5. tan1^(@).tan2^(@).tan3^(@)...tan89^(@)=

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  6. log10 tan1^@+log10 tan2^@+log10 tan3^@+......+log10 tan89^@=..........

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  7. cot. (pi)/(20) cot. (3pi)/(20) cot. (5pi)/(20) cot. (7pi)/(20) cot. (9...

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  8. Sin24^(@)+sin32^(@)+sin204^(@)+sin212^(@)=

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  9. cos. (pi)/(7) + cos. (2pi)/(7) + cos. (3pi)/(7) + cos. (4pi)/(7) + cos...

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  10. If A,B,C,D are the angles of a quadrilateral then cos""((A+B)/(2))+ ...

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  11. If A,B,C,D are the angles of a cyclic quadrilateral then cos A + cos...

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  12. If sum(i=1)^(n)sin theta(i)=n then cos theta(1) + cos theta(2) + ...+c...

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  13. If sin theta + cosec theta =2 then sin^(n) theta + cosec^(n) theta =

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  14. (1+sec theta - tan theta)/(1+sec theta + tan theta)=

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  15. If sec theta + tan theta = 1.5 then theta lies in the quadrant

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  16. If x=sin 130^(@) + cos 130^(@) then

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  17. If u(n) = cos^(n) theta + sin^(n) theta then 2u(6)-3u(4)=

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  18. 3[sin^(4)(3pi//2-alpha)+sin^(4)(3pi+alpha)]-2[sin^(6)(pi//2+alpha)+sin...

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  19. If k=(1+ sin A) (1+ sin B)(1+ sin C)=(1- sin A) (1- sin B) (1- sin C) ...

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  20. If x=a cos^(3) theta , y= a sin^(3) theta then

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