Home
Class 11
MATHS
If costheta=1/2(x+1/x) then 1/2(x^2+1/x^...

If `costheta=1/2(x+1/x)` then `1/2(x^2+1/x^2)`=

A

`sin 2 theta `

B

`cos 2 theta `

C

`tan 2 theta `

D

`sec 2 theta`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|101 Videos
  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES

    TARGET PUBLICATION|Exercise EVALUATION TEST|12 Videos
  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES

    TARGET PUBLICATION|Exercise EVALUATION TEST|12 Videos
  • STRAIGHT LINE

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos
  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos

Similar Questions

Explore conceptually related problems

If cos theta =1/2 (x+1/x ) , then 1/2(x^(2) +1/(x^(2))) is equal to :

If cos theta=(1)/(2)(x+(1)/(x)) then (1)/(2)(x^(2)+(1)/(x^(2)))=

If 2costheta=x+1/x , then 2cos2theta= ?

i) Prove that: (1-sin2A)/(1+sin2A) = tan^(2)(pi/4-A) ii) If costheta=1/2(x+1/x) , then prove that: cos2theta=1/2(x^(2)+1/x^(2)) and cos3theta=1/2(x^(3)+1/x^(3))

If x+(1)/(x)=2costheta , then x^(n)+(1)/(x^(n)) is equal to

If x=costheta,y=sin50," then "(1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)=

If x+(1)/(x)=3, then find x^(2)-(1)/(x^(2)),x^(2)+(1)/(x^(2))

If x_1= 8 sintheta and x_2=6costheta then a 'x_1+x_2 max=10 b 'x_1+x_2=10sintheta+37' c 'x_1*x_2=24sintheta' d) 'x_1/x_2 = 4*tantheta/3'

TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES -CRITICAL THINKING
  1. THe value of cos^2(pi/12)+cos^2(pi/4)+cos^2((5pi)/12) is

    Text Solution

    |

  2. tanalpha=1/7,tanbeta=1/3,t h e ncos2alpha=

    Text Solution

    |

  3. If costheta=1/2(x+1/x) then 1/2(x^2+1/x^2)=

    Text Solution

    |

  4. If sin x+ cos x =1/5 and 0 le x le pi, then tan x is equal to

    Text Solution

    |

  5. If 0 lt x lt pi and cos x + sin x = 1/2, then tan x is

    Text Solution

    |

  6. If : tan((pi)/(4)+theta) - tan((pi)/(4) - theta) =m*tan (ntheta),"then...

    Text Solution

    |

  7. If sec 2 theta =p + tan 2 theta, then the value of sin^(2) theta in ...

    Text Solution

    |

  8. If theta and phi are angles in first quadrant and tantheta=1/7 and sin...

    Text Solution

    |

  9. If cos(theta-alpha) = a and cos(theta-beta) = b then the value of sin^...

    Text Solution

    |

  10. If tan^2theta=2tan^2varphi+1,t h e ncos2theta+sin^2varphi equals -1 (...

    Text Solution

    |

  11. If tantheta-cottheta=aandsintheta+costheta=b(b^2-1)^2(a^2+4) is equal...

    Text Solution

    |

  12. If sin A sin 2A = x and cos A + cos 2A = y, then (x^(2)+y^(2)) (x^(2)+...

    Text Solution

    |

  13. If tan x= (2b)/(a-c), a!=c, y = a cos^2 x +2b sin x*cos x + c sin^2x, ...

    Text Solution

    |

  14. 8*sin(x/8)*cos(x/2)*cos(x/4)*cos(x/8)=

    Text Solution

    |

  15. If x= cos 10^(@)cos 20^(@) cos 40^(@), then the value of x is

    Text Solution

    |

  16. If theta =(pi)/(2 ^(n) +1), then cos theta cos 2 theta cos 2^(2) the...

    Text Solution

    |

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

    Text Solution

    |

  18. The value of co s pi/5 co s.2pi / 5 c o s 4pi / 5 co s 8pi / 5 =

    Text Solution

    |

  19. The value of (1)/(sin 10^(@)) -(sqrt3)/(cos 10^(@)) is equal to

    Text Solution

    |

  20. If |tanA|lt1and |A|is acute, then (sqrt(1+sin2A)+sqrt(1-sin2A))/(sqrt...

    Text Solution

    |