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If 3 sin alpha=5sin beta then (tan((alph...

If `3 sin alpha=5sin beta` then `(tan((alpha+beta)/2))/(tan((alpha-beta)/2))=`

A

1

B

2

C

3

D

4

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-TRANSFORMATIONS AND INDENTITIES-EXERCISE -II
  1. If cos A=3/4 then 32 "sin"A/2."sin"(5A)/2=

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  2. ((cosalpha-cos 3 alpha)(sin8alpha+sin 2alpha))/((sin 5alpha-sin alpha)...

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  3. If 3 sin alpha=5sin beta then (tan((alpha+beta)/2))/(tan((alpha-beta)/...

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  4. m tan (theta-30)=n tan (theta+120) then (m+n)/(m-n)=

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  5. If x/y=(cos A)/(cos B) then (xtannA+ytanB)/(x+y) is equal to

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  6. If (cos(theta(1)-theta(2)))/(cos(theta(1)+theta(2)))+(cos (theta(3)+th...

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  7. If cos 2B=(cos (A+C))/(cos(A-C)) , then tan A , tan B , tan C are in

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  8. sin alpha=sinbeta, cos alpha=cos beta then

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  9. The vlaue of sinx+siny=a and cos x+cosy=b then cos(x-y)=

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  10. (sin 7 theta+ 6 sin 5 theta+17sin 3 theta+12sin theta)/(sin 6 theta+5 ...

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  11. If alpha+beta+gamma=2 theta then cos theta+cos(theta-alpha)+cos (the...

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  12. If A+B+C=2S then cos^(2)S+cos^(2)(S-A)+cos^(2)(S-B)+cos^(2)(S-C)=

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  13. If A+B+C=180^(@), then sin 2 A+sin 2B-sin2C=

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  14. If A+B+C=90^(@) then cos^(2)A+cos^(2)B+cos^(2)C=

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  15. If A+B+C=90^(@) then sin^(2)A+sin^(2)B+sin^(2)C=

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  16. If A+B+C=90^(@) then cos^(2)A+cos^(2)B+cos^(2)C=

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  17. If A+ B+C= 180^(@) " then " cos 2A+ cos 2B + cos 2C+ 1=

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  18. If A+B+C=180^(@)C then (sin 2A+sin 2B+sin 2C)/(cos A +cos B +cos C-1...

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  19. cos x+cos y=1/3,sinnx+siny=1/4 then sin(x+y)=

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  20. Statement I: If A+B+C=pi and cos A =cos B cos C then cot B cot C=1/3 ...

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