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If (x)/(tan( theta + alpha ))=(y)/(tan (...

If `(x)/(tan( theta + alpha ))=(y)/(tan (theta + beta ))=(z)/(tan ( theta + gamma))`, then `sum(x+y)/(x-y) sin^(2)(alpha - beta )= `

A

1

B

`-1`

C

0

D

none

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 C ( MULTIPLE AND SUBMULTIPLE ANGLES )
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  2. If x cos alpha = y cos ( 2pi//3+ alpha ) = z cos ( 4pi//3+ alpha ) , "...

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

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

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

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

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  9. If "cosec" theta = (p+q)/(p-q) " then " cot((pi)/4+( theta )/(2))=

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  10. If sec ( theta - alpha ) , sec theta , sec ( theta + alpha ) are in ...

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  11. If A=340^(@) " then " sqrt(1- sin A)-sqrt(1+ sin A)=

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  12. If tan^(2) A= 2 tan ^(2) B+1, then 2 cos 2A + 1=

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  13. If tan^(2) A= 2 tan ^(2) B+1, "then " cos 2A + sin^(2)B =

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  14. If 2 tan A=3 tan B , " then " tan (A-B)=

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  15. If tan A = 1//2 , tan B=1//3 " then " cos 2A=

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