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The value of sin^2(1^@)+sin^2(5^@)+sin^2...

The value of `sin^2(1^@)+sin^2(5^@)+sin^2(9^@)+..........+sin^2(89^@)` is
(A) `11frac(1)(2)`
(B) `11sqrt2`
(C) 11
(D) `frac(11)(sqrt2)`

A

`11(1/2)`

B

`11sqrt(2)`

C

11

D

`11/sqrt(2)`

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A
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LUCENT PUBLICATION-ELEMENTARY TRIGONOMETRIC IDENTITIES -EXERCISE 11A
  1. The identity (1+ tan theta - sec theta)(1+ cot theta - "cosec"theta) n...

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  2. Which is equal to sectheta."cosec"theta ?

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  3. The value of tan^(4)A + tan^(2)A in terms of secA is

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  4. Find minimum value of sin^(2)theta+cosec^(2)theta+cos^(2)theta+sec^(...

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  5. If cos^(2)alpha+cos^(2)beta=2, then the value of tan^(3)alpha+sin^(...

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  6. If A = tan 11^(@) tan 29^(@), B = 2cot 61^(@) cot 79^(@), then which ...

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  7. The simplified value of (SecA-cosA)^(2)+("cosec" A-sinA)^(2)-(cotA-t...

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  8. The value of sin^2(1^@)+sin^2(5^@)+sin^2(9^@)+..........+sin^2(89^@) i...

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  9. The numerical value of cot 18^(@) (cot 72^(@) cos^(2) 22^(@) + (1)/...

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  10. If sinalphasec(30^(@)+alpha)=1(0^(@)ltalphalt60^(@)), then find the va...

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  11. If cos^(4)alpha - sin^(4)alpha = 2/3, then the value of 2 cos^(2)theta...

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  12. If theta be a positive acute angle satisfying cos^(2)theta+cos^(4)...

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  13. If theta is an acute angle and tan theta + cot theta=2, then the value...

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  14. (sin^(2)1^(@) + sin^(2)3^(@) + sin^(2)5^(@) +sin^(2)7^(@) + ….. + sin^...

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  15. If 2cos theta - sin theta = 1/sqrt(2), (0^(@) lt theta lt 90^(@)) then...

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  16. If (sin theta + cos theta)/(sin theta - cos theta)=3, then the value ...

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  17. If sec^(2)theta+tan^(2)theta=7 , then the value of theta

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  18. (secx.secy + tanx.tany)^(2)-(secx.tany + tanx.secy)^(2) in its simples...

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  19. If (cos^(2) theta)/(cot^(2) theta - cos^(2) theta) = 3 and 0^(@) lt th...

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  20. If sintheta - cos theta = 7/13 and 0 lt theta lt 90^(@),then the value...

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