Home
Class 11
MATHS
If pi/2<theta<pi, then sqrt((1-s intheta...

If `pi/2

A

`2 sec theta`

B

`-2 sec theta`

C

`2 cosec theta`

D

`2 cos theta `

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|33 Videos
  • TRIGONOMETRIC FUNCTIONS

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

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos
  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES

    TARGET PUBLICATION|Exercise EVALUATION TEST|12 Videos

Similar Questions

Explore conceptually related problems

Find the value of expression ((cos pi)/(2)+i sin((pi)/(2)))(cos((pi)/(2^(2)))+i sin((pi)/(2^(2))))......oo

The largest interval lying in (-pi/2,pi/2) for which the function [f(x)=4^-x^2+cos^(-1)(x/2-1)+log(cosx)] is defined, is (1) [0,pi] (2) (-pi/2,pi/2) (3) [-pi/4,pi/2) (4) [0,pi/2)

If y=tan^(-1)x+tan^(-1)(1/x)+sec^(-1)x , then y lies in the interval (a) [pi/2,pi)uu[pi,(3pi)/2) (b) [pi/2,(3pi)/2] (c)(0,pi) (d) [0,pi/2)uu[pi/2,pi)

f(x)={((5^(cosx)-1)/((pi)/(2)-x)",", x ne (pi)/(2)), (log 5"," , x =(pi)/(2)):} at x =(pi)/(2) is

If : f(x) {: ((1-sin x)/(pi-2x)", ... " x != pi//2 ),(=lambda ", ... " x = pi//2):} is continuous at x = pi//2 , then : lambda =

f(x) = {{:((k cosx )/((pi - 2x)"," if x ne (pi)/(2))),(3"," if x = (pi)/(2)):} at x = (pi)/(2) .

sin((pi)/(2)+theta)+sin((3 pi)/(2)+theta)+sin((5 pi)/(2)+theta)+sin((7 pi)/(2)+theta) is equal to

If f(x) is continuous at x = (pi)/2 , where f(x) = (sinx)^(1/(pi-2x)), "for" x != (pi)/2 , then f((pi)/(2)) =

If f(x) = {((1-sinzx)/(pi-2x), ",", x != pi/2),(lambda, ",", x = pi/2):} , be continuous at x = (pi)/2 , then the value of lambda is

The argument of (1-i)/(1+i) is (pi)/(2) b.(pi)/(2) c.(3 pi)/(2)d .(5 pi)/(2)

TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -CRITICAL THINKING
  1. If tan theta + sectheta=sqrt3,0 < theta < pi, then theta is equal to

    Text Solution

    |

  2. If pi/2 lt theta lt (3pi)/2 , then sqrt((1-sin theta)/(1+sin theta)) ...

    Text Solution

    |

  3. If pi/2<theta<pi, then sqrt((1-s intheta)/(1+s intheta))+sqrt((1+s int...

    Text Solution

    |

  4. If pi<alpha<(3pi)/2,t h e nsqrt((1-cosalpha)/(1+cosalpha))+sqrt((1+cos...

    Text Solution

    |

  5. If A lies in second quadrant and 3tanA+4=0, then the value of 2cotA-5c...

    Text Solution

    |

  6. If sec theta - tan theta = 1/2, then theta lies in the

    Text Solution

    |

  7. If cos theta + sin theta = sqrt2 cos theta " then" cos theta - sin th...

    Text Solution

    |

  8. If sinx+cosx=a then |sinx-cosx|=

    Text Solution

    |

  9. If 3 sin theta + 4 cos theta=5, then find the value of 4 sin theta-3 c...

    Text Solution

    |

  10. If u(n) = sin ^(n) theta + cos ^(n) theta, then 2 u(6) -3 u(4) is equ...

    Text Solution

    |

  11. If sin x + sin ^(2) x=1, then the value of cos ^(12) x+3 cos ^(10) x+...

    Text Solution

    |

  12. If 10sin^4 alpha+15 cos^4 alpha=6, then find the value of 27 cosec^6 a...

    Text Solution

    |

  13. sin alpha =(2xy)/(x^2+y^2) => sec alpha - tan alpha=

    Text Solution

    |

  14. If sec theta - tan theta =(a+1)/(a-1), then cos theta =

    Text Solution

    |

  15. If sectheta=x+1/(4x), then s e ctheta+t a ntheta= x ,1/x (b) 2x ,1/(...

    Text Solution

    |

  16. The value of sin^(6)((pi)/(49))+cos^(6)((pi)/(49))-1+3sin^(2)((pi)/(...

    Text Solution

    |

  17. If (2sinalpha)/({1+cos alpha+sin alpha})=y, then ({1-cos alpha+sin alp...

    Text Solution

    |

  18. The value of the expression 1- (sin^(2)y)/(1+ cos y) + (1+ cos y)/(s...

    Text Solution

    |

  19. (2 sin theta * tan theta (1- tan theta ) + 2 sin theta sec^(2) theta )...

    Text Solution

    |

  20. If A is an obtause angle, then (sin^(3)A-cos^(3))/(sinA-cosA)+(sinA)/(...

    Text Solution

    |