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If cos(alpha+beta)=(4)/(5) and sin(alpha...

If `cos(alpha+beta)=(4)/(5) and sin(alpha-beta)=(5)/(13)` , where `alpha` lie between 0 and ` (pi)/(4)`, then find that value of `tan2alpha`.

A

`25/16`

B

`56/33`

C

`19/12`

D

`20/7`

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The correct Answer is:
B
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AAKASH INSTITUTE ENGLISH-TRIGNOMETRIC FUNCTIONS -Assignment section-A (Objective Type Questions (One option is correct))
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  2. The value of "sin"(45^(@)+ theta)-"cos(45^(@) - theta) is (i) 2costh...

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  3. If cos(alpha+beta)=(4)/(5) and sin(alpha-beta)=(5)/(13) , where alpha ...

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  4. The value of (1-tan^(2)15^(@))/(1+tan^(2)15^(@)) is

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  5. If (1+tantheta)(1+tanphi)=2, then theta + phi=

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  6. Find the value of cos 12^(@)+cos 84^(@)+cos 156^(@)+cos 132^(@)

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  7. The value of sin 50^(0)-sin 70^0+sin 10^0 is equal to a. adot\ 0 b. 1 ...

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  8. The value of sinpi/(14)sin(3pi)/(14)sin(5pi)/(14)sin(7pi)/(14)sin(9pi)...

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  9. The value of sin""(pi)/(10)sin""(13pi)/(10) is

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  10. In a triangleABC, if sinA - cosB = cos C, then the measured of angleB ...

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  11. The value of "cos"1^(@)."cos"2^(@)."cos"3^(@)......."cos"179^(@) is

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  12. Prove that: 2cospi/(13)cos(9pi)/(13)+cos(3pi)/(13)+cos(5pi)/(13)=0

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  13. If sintheta +costheta =1, then the value of sin2theta is equal to

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  14. If "tan"A=1/(2),"tan"B=1/(3), then "tan"(2A+B) is equal to

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  15. The minute hand of a watch is 3 cm long. How far does its tip move in ...

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  16. If sintheta=(-4)/(5) and theta lies in third quadrant, then the value...

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  17. The value of tan75^(@) =

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  18. If omega is a non-real cube root of unity and n is not a multiple o...

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  19. The value of 2sinA cos^(3)A -2sin^(3)A cosA is

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  20. If tanalpha=(sqrt(3)+1)/(sqrt(3)-1), then the expression cos 2alpha +(...

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