Home
Class 11
MATHS
If π<α<(3π)/2 then sqrt((1-cosalpha)/(1...

If `π<α<(3π)/2` then `sqrt((1-cosalpha)/(1+cosalpha))+sqrt((1+cosalpha)/(1-cosalpha))` is equal to

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

If 3π/4<α<π, then sqrt(2cotalpha+1/(sin^2alpha)) is equal to

If the sides a , b , c of a triangle A B C form successive terms of G.P. with common ratio r(>1) then which of the following is correct? (a) A >pi/3 ' (b) B≥π/3 '(c) C<π/3 '(d) A < B < π/3

If sin(120° – α) = sin(120° – β) and 0 < α, β < π then find the relation between α and β.

If x=acos^3theta,y=a sin^3theta, then find the value of (d^2y)/(dx^2) at θ=π/6

If cos3x+sin(2x-(7pi)/6)=-2 , then show that x is of the form π / 3(6n+1) .

If intsin^(-1)xcos^(-1)xdx=f^(-1)(x)[π/2x-xf^(-1)(x)-2sqrt(1-x^2)]+2x+C ,t h e n (a) f(x)=sinx (b) f(x)=cosx (c) f(x)=tanx (d) none of these

The value of lim_(x to oo ) (log_(e)(log_(e)x))/(e^(sqrt(x))) is _________. (a) π/ 2 (b)0 (c)-π (d)π

There exists a triangle A B C satisfying the conditions (A) bsinA = a, A a, A > π/2 (C) bsinA > a, A < π/2 (D) bsinA < a, A < π/2, b < a

Find all solution of the equation. sinx+sin(π/8)sqrt((1−cosx)^2+sin^2x)=0 in [ 5π/2, 7π/2].

The number of ordered pairs (α,β), where α,β∈(−π,π) satisfying cos (α−β)=1 and cos(α+β)=1/e is

CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Find the number of roots of equation sinx+sin5x=sin2x+ sin4x

    Text Solution

    |

  2. Let A B C be a triangle with /B=90^0 . Let AD be the bisector of /A wi...

    Text Solution

    |

  3. If π<α<(3π)/2 then sqrt((1-cosalpha)/(1+cosalpha))+sqrt((1+cosalpha)/...

    Text Solution

    |

  4. In which of the following sets the inequality sin^6x+cos^6x >5/8 hold...

    Text Solution

    |

  5. Find the number of solutions of sinx=x/(10)

    Text Solution

    |

  6. If the distances of the vertices of a triangle =ABC from the points of...

    Text Solution

    |

  7. If 3π/4<α<π, then sqrt(2cotalpha+1/(sin^2alpha)) is equal to

    Text Solution

    |

  8. Which of the following identities, wherever defined, hold(s) good? (a...

    Text Solution

    |

  9. Find the coordinates of the points of intersection of the curves y = c...

    Text Solution

    |

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

    Text Solution

    |

  11. A triangle A B C is inscribed in a circle with centre at O , The lines...

    Text Solution

    |

  12. If sin(x+20^0)=2sinxcos40^0,w h r ex in (0,pi/2), then which of the fo...

    Text Solution

    |

  13. PQ is a vertical tower having P as the foot. A,B,C are three points ...

    Text Solution

    |

  14. The equation (cosp-1)^x^2+(cos p)x+s in p=0 in the variable x has real...

    Text Solution

    |

  15. If a and b are positive quantities, (a gt b) find minimum positive val...

    Text Solution

    |

  16. The distance between two parallel lines is unity. A point P lies betwe...

    Text Solution

    |

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

    Text Solution

    |

  18. The smallest positive x satisfying the equation (log)(cosx)sinx+(log)(...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |