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If tan theta=(p)/(q), what is the value...

If `tan theta=(p)/(q)`, what is the value of `(p sec theta-q " cosec" theta)/(p sec theta+q" cosec" theta)=`

A

1

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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CALCUTTA BOOK HOUSE-TRIGONOMETRIC RATIOS AND TRIGONOMETRIC IDENTITIES -EXERCISE
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  3. (sin30^(@)cos45^(@))/(tan 60^(@)) is equal to

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  4. In DeltaABC, If angleC=90^(@), angleA=60^(@) and AB=40 cm, then AC is ...

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  5. Write true of false : cot theta=(cos theta)/(sin theta)

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  6. Write true of false : sin theta is a product of sin and theta.

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  7. Fill in the blanks : The trigonometric ratio cos theta= ul(" ...

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  8. Fill in the blanks : The value of sin theta can never be greate th...

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  9. Fill in the blanks : The value of cot 0^(@) is not .

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  10. Find the value of cos(-1170^(@)).

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  11. Calculate the value of sec(-1680^(@)) sin 330^(@).

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  12. Simplify : sin 300^(@) cos 390^(@) tan (-855^(@))+cos(-120^(@))* sin ...

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  13. Prove that tan 225^(@) cot 405^(@)+tan 765^(@) cot 675^(@)=0.

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  14. Evalute : "sin"^(2)(pi)/(4) + "cos"^(2) (3pi)/(4)+"cos"^(2)(5pi)/(4)...

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  15. Prove that "tan"(pi)/(12) "tan"(pi)/(16) "tan"(5pi)/(12)"tan"(7pi)/(1...

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  16. If tan 35^(@)=x, then prove that (tan 145^(@)- tan 125^(@))/(1+tan14...

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  17. Find the value of sin^(3)60^(@) cot 30^(@)-2 sec^(2) 45^(@)+3 cos60^(@...

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  18. If (cos theta)/(1-sin theta)-(costheta)/(1+sin theta)=2, then find the...

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  19. If (cos x)/(cosy)=n and (sinx)/(siny)=m, what is the value of (m^(2)...

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  20. If x cos 60^(@)+y cos0^(@)=3 and 4x sin 30^(@) -y cot 45^(@)=2, then ...

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