Home
Class 12
MATHS
If y=(sec^(2)theta-tantheta)/(sec^(2)the...

If `y=(sec^(2)theta-tantheta)/(sec^(2)theta+tantheta)'`then

A

`1/3ltylt3`

B

`y!in[1//3,3]`

C

`-3ltylt-1/3`

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

Statement-1: if thetane2npi+(pi)/(2),n inZ, then (sec^(2)theta+tantheta)/(sec^(2)theta-tantheta)"lies between"1/3 and 3. Statement-2: If x inR, then 1/3le(x^(2)-x+1)/(x^(2)+x+1)le3.

Prove the following identities: (sectheta-tantheta)/(sectheta+tantheta)=1-2secthetatantheta+2tan^2theta

Prove that : (i) (1)/(sectheta-tantheta)+(1)/(sectheta+tantheta)=2sectheta " " (ii) ("cosec "theta+cottheta)/("cosec "theta-cottheta)=("cosec "theta+cottheta)^(2)

Prove: ((1+cot^2theta)tantheta)/(sec^2theta)=cottheta

If tantheta=1/(sqrt(2)) , find the value of (cos e c^2theta-sec^2theta)/(cos e c^2theta+cot^2theta)

Prove that sqrt(sec^(2)theta + cosec^(2)theta) = tantheta + cottheta .

If tantheta=1/(sqrt(7)) , find the value of (cos e c^2theta-sec^2theta)/(cos e c^2theta+sec^2theta) .

If tantheta=1/(sqrt(7)) , find the value of (cos e c^2theta-sec^2theta)/(cos e c^2theta+sec^2theta) .

Given tantheta=1/(sqrt(5)) , what is the value of (cos e c^2theta-sec^2theta)/(cos e c^2theta+sec^2theta) ?

Solve: cot2theta=tantheta

OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
  1. For x in R, tanx+1/2tan""(x)/(2)+1/((2^2))tan""(x)/(2^(2))+...+(1)/(...

    Text Solution

    |

  2. If (tan3A)/(tanA)=k, then (sin3A)/(sinA)=

    Text Solution

    |

  3. If y=(sec^(2)theta-tantheta)/(sec^(2)theta+tantheta)'then

    Text Solution

    |

  4. If cosA=tanB, cos B=tanC, cosC=tanA, then sin A is equal to

    Text Solution

    |

  5. If tanalpha is equal to the integral solution of the inequality 4x^2-1...

    Text Solution

    |

  6. If x/(costheta)=y/(cos(theta-(2pi)/3))=z/(cos(theta+(2pi)/3)) 1 (b) ...

    Text Solution

    |

  7. If cosA=3/4, then 32 sin (A/2) sin ((5A) /2)= ------------- ...

    Text Solution

    |

  8. Find the minimum value of 9tan^2theta+4cot^2theta

    Text Solution

    |

  9. If x(1),x(2),x(3),...,x(n) are in A.P. whose common difference is alph...

    Text Solution

    |

  10. If asin^2x+bcos^2x=c,bsin^2y+acos^2y=d and atanx=btany then a^2/b^2=.....

    Text Solution

    |

  11. If a(r+1)=sqrt(1/2 ( 1+a(r))), the prove that cos((sqrt(1-a(0)^(2))...

    Text Solution

    |

  12. If alpha,beta,gamma,delta are the smallest positive angles in ascendin...

    Text Solution

    |

  13. The value of cos y cos (pi/2-x)-cos (pi/2 - y) cos x + sin y cos (pi/2...

    Text Solution

    |

  14. If cosx-sinalphacotbetasinx=cosa , then the value of tan(x/2) is -tan(...

    Text Solution

    |

  15. The expression cosec^(2)A cot^(2)A-sec^(2)A tan^(2)A-(cot^(2)A-tan^(...

    Text Solution

    |

  16. If sin alpha -cos alpha = m, then the value of sin^6alpha+cos^6alpha i...

    Text Solution

    |

  17. The value of x , 0 le x le (pi)/2 which satisfy the equation 81^( si...

    Text Solution

    |

  18. If cos(A-B)=3/5 and tan A tan B=2, then (a) cos Acos B=1/5 (b) sin A ...

    Text Solution

    |

  19. The value of (3+cot76^@cot16^@)/(cot76^@+cot16^@) is

    Text Solution

    |

  20. If sin x+sin^(2)x=1, " then " cos^(8)x+2 cos^(6)x+cos^(4)x=

    Text Solution

    |