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(sin^(3) A + sin 3A)/( sin A )+ (cos^(3)...

`(sin^(3) A + sin 3A)/( sin A )+ (cos^(3) A - cos 3A)/( cos A )=`

A

`0`

B

1

C

2

D

3

Text Solution

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 C ( MULTIPLE AND SUBMULTIPLE ANGLES )
  1. ( cos 3 theta - sin 3 theta )/( cos theta+ sin theta ) =

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  2. (3 cos theta + cos 3 theta )/( 3 sin theta - sin 3 theta ) =

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  3. (sin^(3) A + sin 3A)/( sin A )+ (cos^(3) A - cos 3A)/( cos A )=

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  4. Show that sin A= (sin 3A) /(1+2 cos 2A). Hence find the value of sin 1...

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  5. (1- sec 8 theta )/( 1- sec 4 theta ) =

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  6. ((sin 2A)/(sec A -1))((sec 2A)/(sec 2A+1))=

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  7. sqrt(2)* " cosec " 20^(@) sec 20^(@)=

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

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

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  10. (2 sin x)/( sin 3x)+ (tan x)/(tan 3x)=

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

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

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  13. 3 sin x+ 4 cos x= 5implies 6 tan""(x)/(2)-9 tan^(2)""(x)/(2)=

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

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

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

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

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

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

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

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