Home
Class 12
MATHS
If x=sin(alpha-beta)*sin(gamma-delta), ...

If `x=sin(alpha-beta)*sin(gamma-delta), y=sin(beta-gamma)*sin(alpha-delta), z=sin(gamma-alpha)*sin(beta-delta)`, then :

A

`x+y+z=0`

B

`x^(3)+y^(3)+z^(3)=3xyz`

C

`x+y-z=0`

D

`x^(3)+y^(3)-z^(3)=3xyz`

Text Solution

Verified by Experts

The correct Answer is:
A, B
Promotional Banner

Topper's Solved these Questions

  • COMPOUND ANGLES

    VK JAISWAL|Exercise Exercise-3 : Comprehension Type Problems|12 Videos

  • COMPOUND ANGLES

    VK JAISWAL|Exercise Exercise-4 : Matching Type Problems|5 Videos

  • COMPOUND ANGLES

    VK JAISWAL|Exercise Exercise-5 : Subjective Type Problems|31 Videos

  • COMPLEX NUMBERS

    VK JAISWAL|Exercise EXERCISE-5 : SUBJECTIVE TYPE PROBLEMS|8 Videos

  • CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION

    VK JAISWAL|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|23 Videos

Similar Questions

Explore conceptually related problems

cos (alpha + beta) cos gamma-cos (beta + gamma) cos alpha = sin beta sin (gamma-alpha)

lf, cos (x + alpha) cos (x + beta), cos (x + gamma) sin (x + alpha), sin (x + beta), sin (x + gamma) sin (beta + gamma), sin ( gamma-alpha), sin (alpha-beta) then (Given alpha! = beta! = gamma), sin (alpha-beta)

If ,cos(x+alpha)cos(x+beta),cos(x+gamma)sin(x+alpha),sin(x+beta),sin(x+gamma)sin(beta-gamma),sin(gamma-alpha),sin(alpha-beta) and f(2),=6, then find (1)/(5)sum_(r=1)^(25)f(r)

If cos (alpha + beta) sin (gamma + delta) = cos (alpha - beta) sin (gamma - delta) then:

If ,cos(x+alpha)cos(x+beta),cos(x+gamma)sin(x+alpha),sin(x+beta),sin(x+gamma)sin(beta-gamma),sin(gamma-alpha),sin(alpha-beta) and f(0)=-2, then ,sum_(r=1)^(30)|f(r)| equals

Let alpha,beta and gamma are the angles of a right angle triangle,then the value of sin alpha*sin beta*sin(alpha-beta)+sin beta*sin gamma*sin(beta-gamma)+sin gamma*sin alpha*sin(gamma-beta)+sin(beta-gamma)*sin(gamma-gamma)*sin(gamma-

prove that | (sin alpha, sin beta, sin gamma), (cos alpha, cos beta, cos gamma), (sin 2alpha, sin 2beta, sin 2gamma) | = 4sin (1/2) (beta-gamma) * sin (1/2) (gamma-alpha) * sin (1/2) (alpha-beta) xx {sin (beta + gamma) + sin (gamma + alpha) + sin (alpha + beta)}.

If f(x) = |(cos(x + alpha), cos(x+beta), cos(x + gamma)),(sin(x + alpha), sin(x+beta), sin(x + gamma)), (sin(beta - gamma), sin(gamma - alpha), sin(alpha - beta))| and f(2) = -2, then |sum_(r=1)^20 f(r)| equals

If f(x)=|{:(cos(x+alpha),cos(x+beta),cos(x+gamma)),(sin(x+alpha),sin(x+beta),sin(x+gamma)),(sin(beta-gamma),sin(gamma-alpha),sin(alpha-beta)):}| and f(2) =5 "the" overset(20)underset(r=1)sumf(r) is equal to

If cos(alpha+beta)sin(gamma +delta) = cos(alpha-beta)sin(gamma-delta) , then the value of cotalpha*cotbeta.cotgamma is :

VK JAISWAL-COMPOUND ANGLES-Exercise-2 : One or More than One Answer is/are Correct
  1. If sin(x+20^0)=2sinxcos40^0,w h r ex in (0,pi/2), then which of the fo...

    Text Solution

    |

  2. If cosx + cosy + cosz = 0 "and" sinx + siny + sinz =0, "then show that...

    Text Solution

    |

  3. If 0 lt x lt (pi)/(2) and sin^(n)x+cos^(n)x ge 1, then 'n' may belong ...

    Text Solution

    |

  4. If x=sin(alpha-beta)*sin(gamma-delta), y=sin(beta-gamma)*sin(alpha-de...

    Text Solution

    |

  5. If x = X cos theta- Y sin theta, y = X sin theta + Y cos theta and x^2...

    Text Solution

    |

  6. If 2a=2tan10^(@)+tan50^(@), 2b=tan20^(@)+tan50^(@) 2c=2tan10^(@)+tan...

    Text Solution

    |

  7. Which of the following real numbers when simplified are neither termi...

    Text Solution

    |

  8. If alpha=sin x cos^(3) x and beta=cos x sin^(3) x, then :

    Text Solution

    |

  9. If (pi)/(2) lt theta lt pi, then possible answers of sqrt(2+sqrt(2+2c...

    Text Solution

    |

  10. If cot^(3)alpha+cot^(2)alpha+cot alpha=1 then which of the following i...

    Text Solution

    |

  11. The value of x in (0,pi/2) satisfying (sqrt(3)-1)/(sinx)+(sqrt(3)+1)/(...

    Text Solution

    |

  12. If alpha gt (1)/(sin^(6)x+cos^(6)x) AA x in R, then alpha can be

    Text Solution

    |

  13. If x in (0, (pi)/(2)) and sinx=(3)/(sqrt(10)), Let k=log(10)sinx+log...

    Text Solution

    |

  14. If A, B, C are angles of Delta ABC and tan A tan C = 3, tan B tan C =...

    Text Solution

    |

  15. The value of (sin x-cos x)/(sin^(3)x) is equal to :

    Text Solution

    |

  16. If f(x)=sin^(2)x+sin^(2)(x+(2pi)/(3))+sin^(2)(x+(4pi)/(3)) then :

    Text Solution

    |

  17. The range of y=(sin4x-sin2x)/(sin4x+sin2x) satisfies

    Text Solution

    |

  18. If sqrt(2) cos A=cosB+cos^(3)B, and sqrt(2)sinA=sinB-sin^(3)B then si...

    Text Solution

    |

  19. If alpha gt (1)/(sin^(6)x+cos^(6)x) AA x in R, then alpha can be

    Text Solution

    |

  20. If cot^(3)alpha+cot^(2)alpha+cot alpha=1 then which of the following i...

    Text Solution

    |