Home
Class 12
MATHS
The value of sectheta/sqrt(1-cos^2x)+co...

The value of `sectheta/sqrt(1-cos^2x)+cosx/(sqrt(1+cot^2theta))" for "theta in (pi,(3pi)/2)` is

A

0

B

-2

C

2

D

1

Text Solution

Verified by Experts

The correct Answer is:
B
`sectheta/sqrt(1+tan^2theta)+(cosectheta)/sqrt(1+cot^2theta),theta in(pi,3pi//2)`
`=secthetaabscostheta+cosecthetaabssintheta`
`=sectheta(-costheta)+cosectheta(-sintheta) [As thetain(pi,3pi//2)]`
`=-1-1`
`=-2`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise (Multiple)|17 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise (Comprehension)|11 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise 2.6|9 Videos

  • TRIGONOMETRIC EQUATIONS

    CENGAGE|Exercise Archives (Matrix Match Type)|1 Videos

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE|Exercise Matrix Match Type|1 Videos

Similar Questions

Explore conceptually related problems

The value of (1 - cos^(2) theta) (1 + cot^(2) theta) is ……….. .

(1-cos^(2)theta)(1+cot^(2)theta)= ………. .

sqrt(cosec^(2)theta-cot^(2)theta) is:

Let f:(-1,1)vecR be such that f(cos4theta)=2/(2-sec^2theta) for theta in (0,pi/4)uu(pi/4,pi/2) . Then the value(s) of f(1/3) is (are) (a) 1-sqrt(3/2) (b) 1+sqrt(3/2) (c) 1-sqrt(2/3) (d) 1+sqrt(2/3)

Prove that sqrt(cot^(2)theta-cos^(2)theta)=cottheta.costheta

sqrt((1+ cos theta)/( 1- cos theta)) + sqrt((1- cos theta)/( 1 + cos theta )) ( 0 lt theta lt pi ) is

The value of cos^(-1)sqrt(2/3)-cos^(-1)((sqrt(6)+1)/(2sqrt(3))) is equal to (A) pi/3 (B) pi/4 (C) pi/2 (D) pi/6

(sin^3theta-cos^3theta)/(sintheta-costheta)-(costheta)/(sqrt(1+cot^2theta))-2tanthetacottheta=-1 if

Find the Value of \ sqrt(2+sqrt(2+2cos4theta))

Prove: cos^2 theta + 1/(1 + cot^2 theta) = 1

CENGAGE-TRIGONOMETRIC FUNCTIONS -Exercise (Single)
  1. If thetaigt0" for "1lethetalenandtheta1+theta2+theta3+...+thetan=pithe...

    Text Solution

    |

  2. The set of values of lambda in R such that sin^2theta+costheta=lambda...

    Text Solution

    |

  3. Let A=sin^8theta+cos^14theta, " then "A("max") is

    Text Solution

    |

  4. Minimum value of y=256sin^2x+324cos e c^2xAAx in R is 432 (b) 504 ...

    Text Solution

    |

  5. If aa n db are positive quantities such that a > b , the minimum value...

    Text Solution

    |

  6. If y=(sinx+cos e cx)^2+(cosx+secx)^2 , then the minimum value of y ,AA...

    Text Solution

    |

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

    Text Solution

    |

  8. If the equation cot^4x-2cos e c^2x+a^2=0 has at least one solution, th...

    Text Solution

    |

  9. If cos^2x-(c-1)cosx+2cgeq6 for every x in R , then the true set of va...

    Text Solution

    |

  10. If the inequality sin^(2) x+a cos x+a^(2) gt 1+ cos x holds for any x ...

    Text Solution

    |

  11. If (3pi)/4,sqrt(2cotalpha+1/(sin^2alpha)) is equal to 1+cotalpha (b) ...

    Text Solution

    |

  12. The value of sectheta/sqrt(1-cos^2x)+cosx/(sqrt(1+cot^2theta))" for "...

    Text Solution

    |

  13. The minimum value of the function f(x)=sinx/(sqrt(1-cos^2x))+cosx/sqrt...

    Text Solution

    |

  14. If abs(cos theta{sin theta+sqrt(sin^2theta+sin^2alpha)})lek, then the ...

    Text Solution

    |

  15. In which of the following intervals the inequality, sinx < cos x < tan...

    Text Solution

    |

  16. Th range of k for which the inequaliity kcos^2x-kcosx+1>=0 AA x in(-o...

    Text Solution

    |

  17. The value of cospi/7+cos(2pi)/7+cos(3pi)/7+cos(4pi)/7+cos(5pi)/7+cos(6...

    Text Solution

    |

  18. The numerical value of tanpi/3+2tan(2pi)/3+4tan(4pi)/3+8tan(8pi)/3 is ...

    Text Solution

    |

  19. about to only mathematics

    Text Solution

    |

  20. The value of the expression log10(tan6^@)+log10(tan12^@)+log10(tan18^@...

    Text Solution

    |