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A quadratic equation whose roots are tan...

A quadratic equation whose roots are `tan15^(@) and cot15^(@) `is

A

`x^(2)-4x+1=0`

B

`x^(2)+4x-1=0`

C

`x^(2)+4x+1=0`

D

`x^(2)-4x-1=0`

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-MULTIPLE & SUBMULTIPLE ANGLES-PRACTICE EXERCISE
  1. If alpha is a root of 25 cos^(2)theta + 5 cos theta - 12 =0, (pi)/(2) ...

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  2. A quadratic equation whose roots are tan22 1^(@)/2 and cot22 1^(@)/2 i...

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  3. A quadratic equation whose roots are tan15^(@) and cot15^(@) is

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  4. If xcostheta=ycos(theta+120^(@))=z cos (theta+240^(@)) then xy+yz+zx=

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  5. 1/(sin10^(@))-sqrt3/(cos10^(@))=

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  6. sqrt3 cot20^(@)-4cos20^(@)=

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  7. cos^(2)(theta-45^(@))+cos^(2)(theta+15^(@)-cos^(2)(theta-15^(@))=

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  8. If 4 sin(60^(@) + theta ) sin (60^(@) - theta )-1=k cos 2 theta , th...

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  9. cos6^(@) cos42^(@) cos66^(@) cos78^(@) =

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  10. Show that sin""(pi)/5.sin""(2pi)/5.sin""(3pi)/5.sin""(4pi)/5=5/16.

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  11. cos (pi/7) cos ((2pi)/(7) ) cos ( (4pi )/(7) ) =

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  12. "sin"pi/14" sin"(3pi)/14" sin"(5pi)/14" sin"(7pi)/5=

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  13. "sin"^(2)pi/8" + sin"^(2)(3pi)/8" + sin"^(2)(5pi)/8" + sin"^(2)(7pi)/8...

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  14. "sin"^(4)pi/8" +sin"^(4)(3pi)/8" +sin"^(4)(5pi)/8" +sin"^(4)(7pi)/8=

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  15. Show that (1+ cos. (pi)/(8))(1+cos. (3pi)/(8))(1+ cos. (5pi)/(8))(1+ c...

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  16. If A=2 sin^(2) theta - cos 2 theta , then

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  17. If x+y+z =xyz, then sum(2x)/(1-x^(2))=

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  18. If xy+yz+zx=1 , then sum(x+y)/(1-xy)=

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  19. If sqrt(1+sinA)+sqrt(1-sinA)=2"sin"A/2" then"A/2 in

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  20. If A=340^(@) then 2 sin A//2=

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