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Given that tan""(pi)/(9),x,tan""(5pi)/(...

Given that ` tan""(pi)/(9),x,tan""(5pi)/(18)` are in A.P. Also given that `tan""(pi)/(9),y,tan""(7pi)/(18)` are in A.P. Then we have

A

x=y

B

2x=y

C

x=2y

D

2x=3y

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 2 ( SPEICAL TYPE QUESTIONS ) SET -4
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  6. A : cos 20^(@) + cos 100^(@) + cos 140^(@) =0 . R : cos theta + co...

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  7. A : sin 40^@ - sin 80^(@) + sin 160^(@) = 0 R : sin theta + sin(60^...

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  8. A : tan ( alpha - beta ) + tan ( beta - alpha ) + tan ( gamma - alpha...

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  11. A : cos 40^(@) cos 80^(@) cos 160^(@) =-1//8 R : cos theta cos (120...

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  12. A : cos 24^(@) cos 48^(@) cos 96^@ cos 168^(@) = 1//16 R : cos x ...

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  13. A : tan theta + 2 tan 2 theta + 4 tan 4 theta + 8 tan 8 theta - 16 co...

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  14. A : cos^(3) x + cos^(3)(120^@ + x) + cos^(3)(120^(@) - x)=(3)/(4) cos...

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  15. A : If x+y+z=xyz " then " sum(3x-x^(3))/(1-3x^(2))=Pi(3x-x^(3))/(1-3x^...

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  19. A : If A+B+C=180^(@) " then " cos^(2) A + cos^(2) B+ cos^2 C =1-2 cos ...

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  20. A : Period of sin8x+ cos 2x is pi R : Period of sin ax or cos ax "...

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  21. Assertion (A ) : The maximum value of 2 cos^(2) theta + sqrt(5) cos ...

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