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Which of the following identities are co...

Which of the following identities are correct?

A

`(1+sintheta)/(costheta) +(costheta)/(1+sintheta)=2sectheta`

B

`(1+cotA- " cosec "A)(1+tanA + secA)=2`

C

`sqrt((1+sintheta)/(1-sintheta)) = |sectheta + tantheta|`

D

`(costheta)/(1+sintheta) +(costheta)/(1-sintheta)=2sectheta`

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The correct Answer is:
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 sec theta =x+1/(4x), then tantheta + sec theta is equal to

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  2. If tanalpha+cotalpha=2, then

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  3. Which of the following identities are correct?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. If cosalpha + cosbeta + cosgamma =0= sinalpha + sinbeta + singamma, th...

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