Home
Class 11
MATHS
The expression (tan^4x+2tan^2x+1)cos^2x ...

The expression `(tan^4x+2tan^2x+1)cos^2x ,w h e nx=pi/(12),` can be equal to (a)`4(2-sqrt(3))` (b) `4(sqrt(2)+1)` (c)`16cos^2pi/(12)` (d) `16sin^2pi/(12)`

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

If tan^(-1)x+2cot^(-1)x=(2pi)/3, then x , is equal to (a) (sqrt(3)-1)/(sqrt(3)+1) (b) 3 (c) sqrt(3) (d) sqrt(2)

Prove that: "tan"pi/(16)=sqrt(4+2sqrt(2))-(sqrt(2)+1)

Prove that: "tan"pi/(16)=sqrt(4+2sqrt(2))-(sqrt(2)+1)

tan(pi/4+1/2cos^-1x)+tan(pi/4-1/2cos^-1x) , x!=0 is equal to

"sin^(2)(pi)/(6)+cos^(2)(pi)/(3)-tan^(2)(pi)/(4)=-(1)/(2)"

If 3sin^(-1)((2x)/(1+x^2))-4cos^(-1)((1-x^2)/(1+x^2))+2tan^(-2)((2x)/(1-x^2))=pi/3, w h e r e|x|<1, then x is equal to 1/(sqrt(3)) (b) -1/(sqrt(3)) (c) sqrt(3) (d) -(sqrt(3))/4

2tan^(-1)(-2) is equal to (a) -cos t^(-1)((-3)/5) (b) -pi+cos^(-1)3/5 (c) -pi/2+tan^(-1)(-3/4) (d) -picot^(-1)(-3/4)

sin^2 pi/6 +cos^2 pi/3 -tan^2 pi/4=-1/2

If x >1 , then 2\ tan^(-1)x+sin^(-1)((2x)/(1+x^2)) is equal to (a) 4tan^(-1)x (b) 0 (c) pi/2 (d) pi

if tan^(-1)(1/x)+cos^(-1)(2/sqrt5)=pi/4 then x equals

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. The smallest positive x satisfying the equation (log)(cosx)sinx+(log)(...

    Text Solution

    |

  2. O is the circumcenter of A B Ca n dR1, R2, R3 are respectively, the r...

    Text Solution

    |

  3. The expression (tan^4x+2tan^2x+1)cos^2x ,w h e nx=pi/(12), can be equ...

    Text Solution

    |

  4. If roots of the equation 2x^2-4x+2sintheta-1=0 are of opposite sign, t...

    Text Solution

    |

  5. The variable x satisfying the equation |sinxcosx|+sqrt(2+tan^2+cot^2x)...

    Text Solution

    |

  6. In A B C ,C=60^0a n dB=45^0dot Line joining vertex A of triangle and ...

    Text Solution

    |

  7. If A+B+C=pi, prove that tan^2A/2+tan^2B/2+tan^2C/2geq1.

    Text Solution

    |

  8. A triangle has sides 6,7, and 8. The line through its incenter para...

    Text Solution

    |

  9. P(9,2) = P(x,2).Find x.

    Text Solution

    |

  10. If |2sintheta-cos e ctheta|geq1 and theta!=(npi)/2,n in Z , then cos2...

    Text Solution

    |

  11. Let fn(theta)=(cos(theta/2)+cos2theta+cos((7theta)/2)+....+cos(3n-2)(t...

    Text Solution

    |

  12. Each side of triangle ABC is divided into three equal parts. Find the ...

    Text Solution

    |

  13. Which of the following is not the solution of the equation sin5x=16sin...

    Text Solution

    |

  14. (1+tanalphatanbeta)^2+(tanalpha-tanbeta)^2=

    Text Solution

    |

  15. If cot^3alpha+cot^2alpha+cotalpha=1 then (a) cos2alpha.tanalpha=-1 ...

    Text Solution

    |

  16. Find the rang of f(x)=sqrt(sin^2x-6sinx+9)+3

    Text Solution

    |

  17. The number of solution of the equation |2sinx-sqrt(3)|^2cos^(2x-3cosx+...

    Text Solution

    |

  18. In triangle A B C ,l e tR=c i r c u m r a d i u s ,r= i n r a d i u ...

    Text Solution

    |

  19. The expression cos^2(alpha+beta)+cos^2(alpha-beta)-cos2alpha.cos2beta,...

    Text Solution

    |

  20. In triangle ABC, if A - B = 120 and R = 8r, where R and r have their u...

    Text Solution

    |