Home
Class 11
MATHS
If sintheta+sinphi=sqrt3(cosphi-costheta...

If `sintheta+sinphi=sqrt3(cosphi-costheta))` , prove that `sin3theta+sin3phi=0`

Promotional Banner

Topper's Solved these Questions

  • THE STRAIGHT LINES

    RD SHARMA ENGLISH|Exercise All Questions|493 Videos
  • TRIGONOMETRIC EQUATIONS

    RD SHARMA ENGLISH|Exercise All Questions|120 Videos

Similar Questions

Explore conceptually related problems

If sin theta-sqrt(6)costheta=sqrt(7)costheta. Prove that cos theta+sqrt6 sin theta-sqrt7 sin theta=0.

If 0lttheta,philtpi and cosphi+costheta-cos(theta+phi)=3/2 prove that theta=phi= pi/3.

If sintheta+sinphi=aand costheta+ cosphi =b, then

If determinant |cos(theta+phi) sin(theta+phi)cos2phi sin thetacostheta sinphi costheta sintheta cosphi | is a. positive b. independent of theta c. independent of phi d. none of these

If tantheta=(xsinphi)/(1-xcosphi) and tanphi=(ysintheta)/(1-ycostheta), then x/y= (A) sinphi/sintheta (B) sintheta/sinphi (C) sinphi/(1-costheta) (D) sintheta/(1-cosphi)

If 2 cos theta = sqrt3. prove that : 3 sin theta - 4 sin ^(3) theta =1

If sintheta+costheta=sqrt(2)sin(90^@-theta) , determine cottheta .

if 3 cos theta - 5 sintheta = 3 then prove that 3sintheta+ 5costheta = 5

(sin (theta+phi) -2 sintheta+ sin (theta-phi))/( cos(theta+phi) -2 costheta+ cos (theta-phi))= tan theta

Prove that : (sintheta +sin2theta)/(1+costheta+cos2theta)=tantheta

RD SHARMA ENGLISH-TRANSFORMATION FORMULAE-All Questions
  1. Express each of the following as a product: (i) sin4theta+sin2theta ...

    Text Solution

    |

  2. If (sin(theta+alpha))/(cos(theta-alpha))=(1-m)/(1+m) , prove that tan(...

    Text Solution

    |

  3. If sintheta+sinphi=sqrt3(cosphi-costheta)) , prove that sin3theta+sin...

    Text Solution

    |

  4. Convert each of the following products into the sum or difference of ...

    Text Solution

    |

  5. Convert each of the following products into the sum or difference of ...

    Text Solution

    |

  6. Convert each of the following products into the sum or difference of ...

    Text Solution

    |

  7. Convert each of the following products into the sum or difference of ...

    Text Solution

    |

  8. Convert each of the following products into the sum or difference of ...

    Text Solution

    |

  9. 2cos(pi/13)cos(9pi/13)+cos(3pi/13)+cos(5pi/13)=0

    Text Solution

    |

  10. Prove that: sin10^0sin30^0sin50^0sin70^0=1/(16)dot

    Text Solution

    |

  11. Prove that: cos Acos(60^0-A)cos(60^0+A)=1/4cos3A

    Text Solution

    |

  12. Prove that 4sinthetasin(pi/3+theta)sin((2pi)/3+theta)=sin3theta

    Text Solution

    |

  13. Express each of the following as the sum or difference of sines and ...

    Text Solution

    |

  14. Express each of the following as the sum or difference of sines and ...

    Text Solution

    |

  15. Express each of the following as the sum or difference of sines and ...

    Text Solution

    |

  16. Express each of the following as the sum or difference of sines and ...

    Text Solution

    |

  17. Prove that; 2sin((5pi)/12)sin(pi/12)=1/2

    Text Solution

    |

  18. Prove that 2sin((5pi)/12)cos(pi/12)=(2+sqrt3)/2

    Text Solution

    |

  19. Find the value of 2cos((5pi)/12) cos(pi/12) and 2sin((5pi)/12)cos(pi/1...

    Text Solution

    |

  20. Show that: sin 50^0cos85^0=(1-sqrt(2)sin35^0)/(2sqrt(2))

    Text Solution

    |