Home
Class 12
MATHS
If cot y= (sin x- sin z)/(cos z- cos x) ...

If `cot y= (sin x- sin z)/(cos z- cos x)` then which of the following is possible?

A

x, y, z are in AP

B

-x, y, z are in AP

C

x, y, z are in HP

D

none of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Circular Functions, Identities

    A DAS GUPTA|Exercise Exercise|300 Videos

  • Circles

    A DAS GUPTA|Exercise EXERCISE|122 Videos

  • COMPLEX NUMBERS

    A DAS GUPTA|Exercise EXERCISE|224 Videos

Similar Questions

Explore conceptually related problems

If sin x+sin y=a o* cos x+cos y=b then which of the following may be true

If sin x+sin y=a and cos x+cos y=b then which of the following may be true

(sin 2x - sin 2y)/(cos 2y-cos 2x) = cot (x+y)

Let P(x)=cot^(2)x ((1+tanx+tan^(2)x)/(1+cot x+ cot^(2)x))+((cos x-cos 3x+sin3x-sin x)/(2(sin 2x+cos2x)))^(2) . Then, which of the following is (are) correct ?

Let x,y,z in (0, (pi)/(2)) are first three consecutive terms of an arithmatic progression such that cos x + cos y + cos x =1 and sin x + sin y + sin x = (1)/(sqrt2), then which of the following is/are correct ?

" if " |{:(sin x,,sin y,,sin z),(cos x,,cos y,,cos z),(cos^(3) x,,cos^(3)y,,cos^(3)z):}|=0 then which of the following is // are possible ?

If =a(1+cos theta cos phi),y=b(1+cos theta sin phi) and z=c(1+sin theta) then which of the following is correct

If x = sin 130^(@) cos 80^(@), y = sin 80^(@) cos 130^(@), z = 1+xy , which one of the following is true ?

26. If x,y,z are in A.P,then (sin x-sin z)/(cos z-cos x) is equal to a.tan y b.cot y c.sin y d.cos y

If sin(sin x+cos x)=cos(cos x-sin x) then the largest possible value of sin x, is

A DAS GUPTA-Circular Functions, Identities -Exercise
  1. The value of sqrt3 cosec 20^circ - sec 20^circ is equal to

    Text Solution

    |

  2. The number of real values of x for which sin(e^x) = 5^(x)+5^(-x) is

    Text Solution

    |

  3. If cot y= (sin x- sin z)/(cos z- cos x) then which of the following ...

    Text Solution

    |

  4. What is the real part of ( sin x + icos x )^(3), where i= sqrt( -1) ?

    Text Solution

    |

  5. If alpha, beta be the solutions of theta for the equation a tan theta...

    Text Solution

    |

  6. The value of cos^(2)x + cos^(2) (pi/3 + x) - cos x *cos(pi/3+ x) is

    Text Solution

    |

  7. The equation (cos p-1) x^(2) + cos p*x + sin p = 0 where x is a varia...

    Text Solution

    |

  8. If tan theta + tan (pi/3 +theta) + tan (frac{2pi}{3}+ theta) = k tan 3...

    Text Solution

    |

  9. The value of sin sqrt(x^(2) - pi^(2)/36) lies in the interval

    Text Solution

    |

  10. If alpha, beta are two values lying between 0 and 2pi for which tan t...

    Text Solution

    |

  11. (2+sin 2x)/(1+cos 2x) e^(x)

    Text Solution

    |

  12. sin theta = x + 1/x is possible for some real values of x.

    Text Solution

    |

  13. Is (sec x + tan x + 1)(sec x - tan x - 1) - 2tan x = 0 an identity.

    Text Solution

    |

  14. If a1 +a2cos 2x + a3sin^(2)x = 0 be true for all x then a1, a2 and a3...

    Text Solution

    |

  15. The maximum value of 5cos theta + 12 sin theta is 17. Given statement ...

    Text Solution

    |

  16. If cos x + cos y- cos(x +y) = 3/2 then x=y is possible.

    Text Solution

    |

  17. If x = rsin theta*cos phi, y = rsin theta*sin phi and z = rcos theta ...

    Text Solution

    |

  18. The minimum value of 3cos x + 4sin x + 5 is 0. Given statement is true...

    Text Solution

    |

  19. tan 22 1^circ/2 is a root of the equation - (1+x^(2))/(1- x^(2)) = sq...

    Text Solution

    |

  20. If tan theta= 2 is satisfied by alpha, beta then the value of frac{tan...

    Text Solution

    |