Home
Class 12
MATHS
The expression tan^(2)alpha+cot^(2)alpha...

The expression `tan^(2)alpha+cot^(2)alpha,is`

A

`ge2`

B

`ge2`

C

`ge-2`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|13 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

The expression tan^2alpha+cot^2alpha is

the expression (1+sin2alpha)/(cos(2alpha-2pi)tan(alpha-(3pi)/4))-1/4sin2alpha(cot(alpha/2)+cot((3pi)/2+alpha/2)) simplifies and reduces to

If tan alpha + cot alpha=a , then the value of tan^(4)alpha + cot^(4)alpha is equal to

Show that the expression (tan(x+alpha))/(tan(x-alpha)) cannot lie between the values tan^2 (pi/4-alpha) and tan^2(pi/4+alpha)

The value of expression (tan alpha+sin alpha)/(2"cos"^(2)(alpha)/(2)) for alpha=(pi)/(4) is :

The expression (sin alpha+cos alpha)/(cos alpha-sin alpha) tan((pi)/(4)+alpha)+1, alpha in (-(pi)/(4), (pi)/(4)) simplifies to :

If cot^(-1)(sqrt(cosalpha))-tan^(-1)(sqrt(cosalpha))=x , then sinx is tan^2alpha/2 (b) cot^2alpha/2 (c) tan^2alpha (d) cotalpha/2

If tan alpha, tan beta, tan gamma are the roots of equation x^3 - 3ax^2 + 3bx - 1 =0 , find the centroid of the triangle whose vertices are (tan alpha, cot alpha), (tan beta, cot beta) and (tan gamma, cot gamma) .

If tan^(-1) sqrt((1-sqrt(x))/(1+sqrt(x))) = (pi)/(4)-(alpha)/(2) , then express tan^(2)alpha in terms of x.

If alpha in (-(pi)/(2), 0) , then find the value of tan^(-1) (cot alpha) - cot^(-1) (tan alpha)

OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
  1. Which of the following is correct sin 1^@ > sin 1

    Text Solution

    |

  2. Given A=sin^2theta+cos^2theta, then for all real theta, 1lt=Alt=2 (b...

    Text Solution

    |

  3. The expression tan^(2)alpha+cot^(2)alpha,is

    Text Solution

    |

  4. If tantheta =-4/3," then " sintheta is

    Text Solution

    |

  5. If costheta+sintheta=sqrt(2)costheta, show that costheta-sintheta=sqrt...

    Text Solution

    |

  6. In a right angled triangle, the hypotenuse is four times as long as th...

    Text Solution

    |

  7. If theta lies in the first quardrant and costheta=(8)/( 17 ), then fi...

    Text Solution

    |

  8. Find the value of cos^(4)""(pi)/(8)+cos^(4)""(3pi)/(8)+cos^(4)""(5pi)/...

    Text Solution

    |

  9. If tan(A+B)=pand tan(A-B)=q, then the value of tan2A, is

    Text Solution

    |

  10. In a tringle ABC, sin A-cosB=cosC, then angle B, is

    Text Solution

    |

  11. If theta lies in the first quadrant which of the following in not true

    Text Solution

    |

  12. cos2 theta+2 costheta is always

    Text Solution

    |

  13. The interior angles of a polygon are in A.P. the smallest angle is 120...

    Text Solution

    |

  14. The maximum and minimum values of -4le5cos theta+3cos(theta+(pi)/(3...

    Text Solution

    |

  15. Prove that: sin36^0s in 72^0s in 108^0s in 144^0=5/(16)dot

    Text Solution

    |

  16. If A=tan6^0tan42^0 and B=cot66^0cot78^0 , then

    Text Solution

    |

  17. If sinx+cosecx=2," then "sin^nx+cosec^nx is equal to

    Text Solution

    |

  18. If (x)/(a) cos alpha+ (y)/(b) sin alpha = 1, (x)/(a) cos beta + (y)/(b...

    Text Solution

    |

  19. The value of theta lying between 0 and pi/2 and satisfying |[1+sin^2th...

    Text Solution

    |

  20. The vlaue of sqrt3cot20^(@)-4cos20^(@), is

    Text Solution

    |