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If tantheta=(2t)/(1-t^(2)) then sin thet...

If `tantheta=(2t)/(1-t^(2))` then `sin theta+cos theta` equals

A

`(t^(2)-1)/(t^(2)+1)`

B

`(t^(2)-2t-1)/(t^(2)+1)`

C

`((t-1)^(2))/(t^(2)+1)`

D

`(1+2t-t^(2))/(1+t^(2))`

Text Solution

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The correct Answer is:
D
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LUCENT PUBLICATION-TRIGONOMETRIC RATIO OF SPECIFIC ANGLES-Exercise 10A
  1. For what value of theta, is (tan theta + cosec theta) = 2.5 where 0 lt...

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  2. If 0ltthetaltphilt90^(@) then which one of the following is true ?

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  3. If tantheta=(2t)/(1-t^(2)) then sin theta+cos theta equals

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  4. If 0 le theta lt pi/2 and p= ssec^(2)theta then which one of the follo...

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  5. In a triangle ABC, angleABC = 90^(@), angleACB = 30^(@), AB= 5 cm. Wha...

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  6. If 0 le theta lt pi/2 and costheta + sqrt(3) sin theta =2, then what ...

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  7. Suppose ABC is a right angled triangle with right angled at C . If len...

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  8. ABC is a right triangle with right angle at A. If the value of tan B =...

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  9. If alpha is an acute angle and sinalpha = sqrt((x-1)/(2x)), then what ...

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  10. If theta is in first quadrant and costhetage(1)/(2) then which one of ...

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  11. What is the value of cos1^(@) cos2^(@)cos3^(@).....cos270^(@) ?

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  12. IF A=pi//6 and B=pi//3 then which of the following is/are correct? 1...

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  13. If sin17^(@)=(a)/(b) then value of sec17^(@)-sin73^(@) is

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  14. Assume the Earth to be a sphere of radius R. What is the radius of the...

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  15. If (cosectheta+sintheta)/(cosectheta-sintheta)=(5)/(3) and 0^(@)ltthet...

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  16. Choose the correct statement :

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  17. Given below are respectively base and hypotenuse of four right angle t...

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  18. Consider the following statements about the expression sin^(3)theta+2s...

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  19. Consider right angled DeltaABC with /B=90^(@) . If /ACB=60^(@) , then ...

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  20. In DeltaABC, /ABC=60^(@) and AD is perpendicular from A to BC . If AB=...

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