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( tan 3A)/(tan A)=aimplies( sin 3A)/(sin...

`( tan 3A)/(tan A)=aimplies( sin 3A)/(sin A )=`

A

`(2a)/(a+1)`

B

`(2a)/(a-1)`

C

`(a)/(a+1)`

D

`(a)/(a-1)`

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 C ( MULTIPLE AND SUBMULTIPLE ANGLES )
  1. sqrt(2)* " cosec " 20^(@) sec 20^(@)=

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  2. (tan 3x)/(tan x)=

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  3. ( tan 3A)/(tan A)=aimplies( sin 3A)/(sin A )=

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  4. (2 sin x)/( sin 3x)+ (tan x)/(tan 3x)=

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  5. ( cot x)/( cot x- cot 3x)+ ( tan x)/( tan x- tan 3x)=

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  6. (1)/(tan 3x- tanx)-(1)/( cot 3 x- cot x)=

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  7. 3 sin x+ 4 cos x= 5implies 6 tan""(x)/(2)-9 tan^(2)""(x)/(2)=

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  8. If A=2 sin^(2) theta - cos 2 theta , then

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  9. If A=sin^(2) theta + cos^(4) theta , then for all values of theta ,...

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  10. If 90^(@) lt theta lt 180^(@) , cos theta =-12//13 , then sin 2 thet...

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  11. If 180^(@) lt theta lt 270^(@) , tan theta = 5//12 , " then " cos 3 ...

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  12. If cos theta + sin theta =a , " then " sin 2 theta =

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  13. If theta is an acute angle , cos theta = 7//25 , then tan 3 theta ...

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  14. If 180^(@) lt theta lt 270^(@) , sin theta =-3//5 , then cos theta //...

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  15. If 180^(@) lt theta lt 270^(@), sin theta =-4//5 , " then " tan theta...

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  16. If 630^@ lt A lt 720^(@) , |tan A|=12//5, " then " tan A//2=

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  17. If sin A = (336)/(625) " where " 450^(@) lt A lt 540^(@) , " then " s...

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  18. cot A + tan A =

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  19. tan A + cot 2A=

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  20. tan alpha + 2 tan 2alpha + 4 tan 4 alpha + 8 cot 8 alpha =

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