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If alphaa n dbeta are acute angles satis...

If `alphaa n dbeta` are acute angles satisfying `cos2alpha=(3cos2beta-1)/(3-cos2beta),t h e ntanalpha=` `sqrt(2)tanbeta` (b) `1/(sqrt(2))t a nbeta` (c) `sqrt(2)cotbeta` (d) `1/(sqrt(2))cotbeta`

A

`sqrt(2)tanbeta`

B

`-sqrt(2)tanbeta`

C

`1/sqrt(2)tanbeta`

D

`-1/sqrt(2)tanbeta`

Text Solution

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AAKASH INSTITUTE ENGLISH-TRIGNOMETRIC FUNCTIONS -Section-C (Objective Type Questions More than one options are correct )
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  4. If sin alpha=-3/6, alpha in [0,2pi] then the possible values of cos (a...

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  5. f(alpha,beta) = cos^2(alpha)+ cos^2(alpha+beta)- 2 cosalpha cosbeta co...

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

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  7. If A+B=pi/3, and cosA+cosB=1, then which of the following is true:

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

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

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

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

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

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

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

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  15. Let A and B denote the statements A:cos alpha+ cos beta+cos gamma=0 ...

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  16. If 4costheta-3sectheta=2tantheta, then theta is equal to

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  17. If alpha in [-2pi, 2pi] and cos.(alpha)/(2)+sin.(alpha)/(2)=sqrt(2)(co...

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  18. If sintheta= a for e xactly one value of theta in [0,(7pi)/3], then ...

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  19. If sin theta + sqrt(3) cos theta = 6x - x^(2) - 11, 0 le theta le 4 p...

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  20. Solve the equation sinx + sqrt(3)cosx=sqrt(2)

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