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If sin x + sin y =(1)/4 , sin x- sin y ...

If ` sin x + sin y =(1)/4 , sin x- sin y =1/5 , " then " 4 cot ""((x-y)/2)=`

A

`5 cot""((x-y)/2)`

B

`5 cot""((x+y)/(2))`

C

`5 tan""((x-y)/(2))`

D

`5 tan""((x+y)/(2))`

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 D ( TRANSFORMATIONS )
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  3. If tan""((theta)/(2))=sqrt([(1-e)/(1+e)]) tan""((alpha)/(2)) then cos...

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  4. If cos theta = ( cos alpha - cos beta )/(1- cos alpha cos beta ) " the...

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  5. cos A =(3)/4 implies 32 sin""((A)/(2)) sin""((5A)/(2))=

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  6. If xy+yz+zx=1, " then " (x)/( 1+x^(2))+(y)/(1+y^2)+(z)/(1+z^(2))=

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  7. If sin alpha + sin beta = a , cos alpha + cos beta = b " then sin ( ...

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  8. If sin alpha + sin beta = a , cos alpha + cos beta = b " then cos ( ...

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  9. If cos alpha + cos beta = a, sin alpha + sin beta = b and theta is the...

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  10. If cos x+ cos y = 1//3 , sin x + sin y=1//4 " then " cos (x+y)=

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  11. If x and y are acute angles such that cos x+ cosy=(3)/(2) and sinx + s...

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  12. If sin x + sin y =(1)/4 , sin x- sin y =1/5 , " then " 4 cot ""((x-y)...

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  13. If cos x+ cosy =(4)/(5) and cos x- cos y =(2)/(7), then the value of 1...

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  14. Let alpha , beta be such that pi lt alpha - beta lt 3 pi . If sin...

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  15. sin A + sin B = sqrt(3) ( cos B- cos A )implies sin 3A + sin 3B=

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  16. The value of sqrt(3) cot 20^(@) -4 cos 20^(@) is

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  17. If n is an odd integer than ((cos A + cos B)/( sin A - sin B))^(n) + (...

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  18. If (1+sqrt(1+a)) tan alpha =1 + sqrt(1- alpha ) then sin 4 alpha =

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  19. If sin^(3) x sin 3x = sum(m=0)^(n)Cm cos^(m)x " where " C0,C1...........

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  20. If 0 lt theta lt pi/2, x = sum(n=0)^(oo)cos^(2n) theta, y =sum(n=0)^(o...

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