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sin^(2)5^@+sin^(2)10^@+sin^(2)15^@ +.......

`sin^(2)5^@+sin^(2)10^@+sin^(2)15^@ +.......+sin^(2)85^@ + sin^(2)90^@=`

A

`7(1)/(2)`

B

`8(1)/(2)`

C

`9(1)/(2)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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OBJECTIVE RD SHARMA-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
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  2. If cos(alpha+beta)sin(gamma+delta)=cos(alpha-beta)sin(gamma-delta) the...

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  3. sin^(2)5^@+sin^(2)10^@+sin^(2)15^@ +.......+sin^(2)85^@ + sin^(2)90^@=

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  4. If sinx+sin^2x=1, then find the value of cos^(12)x +3cos^(10)x + 3 cos...

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  5. If ABCD is a cyclic quadrilateral, then the value of cosA-cosB+cosC-co...

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  6. If ABCD, is a cycling quadrilateral such that tanA-5=0and 5cosB+3=0, t...

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  7. If sin (picot theta)=cos (pi tantheta), then

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  8. The value of sinx siny sin(x-y)+sinysinz sin(y-z) +sinz sinx sin(z-x)+...

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  9. If ABCD is a convex quadrilateral such that 4 sec A+5 =0 then the quad...

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  10. If (tanalpha+tanbeta)/(cot alpha+cot beta)+{cos(alpha-beta)+1}^(-1)=1,...

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  11. cos(pi/15)cos((2pi)/15)cos((3pi)/15)cos((4pi)/15)cos((5pi)/15)cos((6pi...

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  12. The value of cos12^(@)cos24^(@)cos36^(@)cos48^(@)cos72^(@)cos84^(@), i...

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  13. The value of sin""(15pi)/(32)sin""(7pi)/(16)sin""(3pi)/(8), is

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  14. sum(r=1)^(n-1)cos^(2)""(rpi)/(n) is equal to

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  15. The value of cot theta-tantheta-2tan2theta-4tan4theta-8cot8theta, is

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  16. If cos(x-y), cosx and cos(x+y) are in H.P., then cos x sec (y/2) equal...

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  17. The value of tan20^(@)+2 tan50^(@)-tan70^(@), is

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  18. If cosA+cosB+cosC=0, then cos3A+cos3B+cos3C is equal to

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  19. Minimum value of cos2theta+costheta for all real value of theta is

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  20. cos9^@-sin9^@=

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