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If tanalpha+cotalpha=2, then...

If `tanalpha+cotalpha=2`, then

A

`tan^(n)alpha + cot^(n)alpha=2`

B

`sqrt(tanalpha)+sqrt(cotalpha)=2`

C

`sin^(2n)alpha+cos^(2n)alpha=1/(2^(n-1))`

D

`tan^(2)alpha+sec^(2)alpha=3`

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A, B, C, D
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AAKASH INSTITUTE-TRIGNOMETRIC FUNCTIONS -Section-C (Objective Type Questions More than one options are correct )
  1. If (a+b)^2/(4ab)=sin^2theta, then

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  2. If sec theta =x+1/(4x), then tantheta + sec theta is equal to

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  3. If tanalpha+cotalpha=2, then

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  4. Which of the following identities are correct?

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  5. The value of the expression sinx+ siny + sinz where x, y, z are real ...

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  6. Let thetain(0,pi//4)and t(1)=(tantheta)^(tantheta), t(2)=(tantheta)^(...

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  7. If tan( pi/4 + x). tan(pi/4 - x) = 1 , then x equals

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  8. Find the value of tan22.5^(@)

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  9. If cos2alpha=(3cos2beta-1)/(3-cos2beta), then tan alpha is equal to

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  10. If sin alpha=-3/6, alpha in [0,2pi] then the possible values of cos (a...

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  11. f(alpha.beta) = cos^2+ beta cos^2(alpha+beta)- 2 cosalpha cosbeta cos(...

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  12. The value of cosA cos2A cos2^2A......cos(2^(n-1)A), where A in R may...

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  13. If A+B=pi/3, and cosA+cosB=1, then

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  14. cos^3x.sin2x=sum(m=1)^n(am)sin mx is an identity in x.

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  15. If 0 lt alpha, beta lt pi and they satisfy cos alpha + cosbeta - cos(a...

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  16. The angles A, B, C of a triangle ABC satisfy 4cosAcosB + sin2A + sin2B...

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  17. Which of the following statement(s) is/are correct?

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  18. If sintheta=K, -1<=K<=1 then number of values of theta for same value ...

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  19. If the sides of a right angled triangle are {cos 2 alpha + cos 2 bet...

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  20. Let a and b be real numbers such that sina + sinb =1/sqrt(2), cosa + c...

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