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If tan theta = p/q then (p sin theta - q...

If `tan theta = p/q` then `(p sin theta - q cos theta)/(p sin theta + q cos theta)=`

A

`(2p)/(p^(2)+q^(2))`

B

`(2pq)/(p^(2)+q^(2))`

C

`(p^(2)-q^(2))/(p^(2)+q^(2))`

D

`(q^(2)-p^(2))/(p^(2)+q^(2))`

Text Solution

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AAKASH SERIES-TRIGONOMERTIC RATIOS-EXERCISE - I
  1. If Sin^(2) theta = K^(2) ( 0 lt k lt 1) and 180^(@) lt theta lt 270^(@...

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  2. If tan theta = 3/4 and theta is not in the first quadrant then (sin (p...

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  3. If tan theta = p/q then (p sin theta - q cos theta)/(p sin theta + q c...

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  4. a sin^(2) theta + b cos^(2) theta =c implies tan^(2) theta =

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  5. If tan theta = -4//3 " then " sin theta =

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  6. If Tan theta = (2 x(x+1))/(2x+1) then Sin theta =

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  7. If tan theta =(1)/(sqrt(7)) and theta is an acute angle , then ("cos...

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  8. If alpha and beta are complementary angles then sin^(2)(90^(@)-alpha)+...

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  9. cos^(2) 9^(@)+cos^(2)18^(@)+cos^(2) 27^(@)+...+cos^(2)81^(@)=

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  10. sum(k=1)^3 cos^(2)((2k-1)(pi)/(12))=

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  11. tan1^(@).tan2^(@).tan3^(@)...tan89^(@)=

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  12. log10 tan1^@+log10 tan2^@+log10 tan3^@+......+log10 tan89^@=..........

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  13. cot. (pi)/(20) cot. (3pi)/(20) cot. (5pi)/(20) cot. (7pi)/(20) cot. (9...

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  14. Sin24^(@)+sin32^(@)+sin204^(@)+sin212^(@)=

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  15. cos. (pi)/(7) + cos. (2pi)/(7) + cos. (3pi)/(7) + cos. (4pi)/(7) + cos...

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  16. If A,B,C,D are the angles of a quadrilateral then cos""((A+B)/(2))+ ...

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  17. If A,B,C,D are the angles of a cyclic quadrilateral then cos A + cos...

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  18. If sum(i=1)^(n)sin theta(i)=n then cos theta(1) + cos theta(2) + ...+c...

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  19. If sin theta + cosec theta =2 then sin^(n) theta + cosec^(n) theta =

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  20. (1+sec theta - tan theta)/(1+sec theta + tan theta)=

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