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If 0 lt alpha , beta lt pi//4, cos ( al...

If `0 lt alpha , beta lt pi//4, cos ( alpha + beta )=4//5 , sin (alpha - beta) =5//13 " then " tan 2alpha =`

A

`33//56`

B

`56//33 `

C

`16//63`

D

none

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 B ( COMPOUNDS ANGLES )
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  2. If cos alpha = -12//13 , cot beta = 24//7 , 90^(@) lt alpha lt 180^(@...

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  3. If 0 lt alpha , beta lt pi//4, cos ( alpha + beta )=4//5 , sin (alpha...

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  4. If tan(picostheta)=cot(pisintheta), then prove that cos(theta-(pi)/(4...

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  5. If tan (A-B)=7//24 , tan A=4//3 " where " A,B are acute , then A+B=

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  6. If cos (A-B)=3//5 and tan A tan B=2 , then which one of the following...

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  7. If cot theta = 8//15 and theta does not lie in the first quadrant , t...

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  8. If 2 tan A + cot A = tan B , then cot A +2 tan (A-B)=

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  9. If tan beta =(n tan alpha )/(1+(1-n) tan^(2) alpha ), then tan(alpha-...

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  10. If x= tan A - tan B , y= cot B- cot A " then " (1)/(x)+(1)/(y)=

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  11. If tan alpha , tan beta are the roots of the equation x^(2) + px+q=...

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  12. If an angle alpha is divided into two parts A and B such that A-B=x ...

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  13. In a DeltaPQR , if 3 sin P+4 cos Q=6 and 4 sin Q+3 cos P=1 , then the...

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  14. If tan beta = 2 sin alpha sin gamma " cosec "(alpha + gamma) , then ...

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  15. cos theta + cos (120^(@) + theta ) + cos (120^(@) - theta )=

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  16. cos theta + cos (240^(@) + theta ) + cos (240^(@)- theta )=

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  17. sin theta + sin (120^(@) + theta ) + sin ( theta - 120^(@))=

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  18. cos theta - cos (60^(@) + theta ) - cos(60^(@) - theta )=

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  19. cos 20^(@) + cos 100^(@) + cos 140^(@) =

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  20. sin 40^(@) - sin 80^(@)+ sin 160^(@)=

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