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If x+(1)/x=2 cos theta , " then " x^(3)+...

If `x+(1)/x=2 cos theta , " then " x^(3)+(1)/(x^(3))=`

A

` 2 sin 3 theta `

B

` 2 cos 3 theta `

C

` 2 tan 3 theta `

D

`2 cot 3 theta `

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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. If tan x=(b)/(a) " then " sqrt((a+b)/(a-b))+sqrt((a-b)/(a+b))=

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  2. If tan(pi//4+ theta ) + tan(pi//4- theta )= k sec 2 theta , then th...

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  3. If x+(1)/x=2 cos theta , " then " x^(3)+(1)/(x^(3))=

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  4. If (sin alpha )/(a) = ( cos alpha )/(b) , then a sin 2alpha + b cos 2...

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  5. If x=sqrt((1- cos theta )/(1+ cos theta )), " then " (2 x)/(1-x^(2))=

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  6. If tan theta = 3//4 , then the value of tan 2 theta + sec 2 theta ...

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  7. If cos x= tan y , coty= tan z , cot z= tan x then sin x=

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  8. If cos x= tan y , coty= tan z , cot z= tan x then sin x=

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  9. If cos x = tan y , cot y= tan z and cot z= tan x, then sin x=

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  10. If "cosec" theta =[(tan^(2) [(alpha - pi)//4]-1)/(tan^(2)[(alpha-pi//4...

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  11. If cos theta =(1)/(2)(a+(1)/(a)), then cos 2 theta =

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  12. If 0 lt theta lt pi//4 , " then " sqrt(2+sqrt(2+2cos 4 theta ))=

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  13. If 0 lt x lt pi , and cos x+ sin x =1//2, then tan x=

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  14. If x cos alpha = y cos ( 2pi//3+ alpha ) = z cos ( 4pi//3+ alpha ) , "...

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  15. If (x)/(tan( theta + alpha ))=(y)/(tan (theta + beta ))=(z)/(tan ( the...

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  16. If (x)/( cos theta ) = (y) /( cos (theta - 2pi//3))=(z)/( cos ( theta ...

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  17. If log2(sinx)-log2(cos x)-log2(1-tan x)-log2(1+ tan x)=-1 then tan 2...

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  18. tan x+ tan(x+(pi)/(3))+ tan(x+(2pi)/(3))=3impliestan 3 x=

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  19. If tan theta + tan ( theta + (pi)/(3))+ tan ( theta + (2pi)/(3))=3 , ...

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  20. If tan 35^(@) = k , then the value of ( tan 145^(@) - tan 125^(@))/...

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