Home
Class 11
MATHS
Express each of the following as the sum...

Express each of the following as the sum or difference of sines and cosines: `2sin3thetacostheta`

Text Solution

Verified by Experts

`=2(sin 3 x)(cos x)`

`=sin (3 x+x)+sin (3 x-x)`

`=sin 4 x+sin 2 x`

Promotional Banner

Topper's Solved these Questions

  • THE STRAIGHT LINES

    RD SHARMA|Exercise Solved Examples And Exercises|488 Videos

  • TRIGONOMETRIC EQUATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|120 Videos

Similar Questions

Explore conceptually related problems

Express each of the following as the sum or difference of sines and cosines: 2sin4 theta sin3 theta

Express each of the following as the sum or difference of sines and cosines: 2sin4 theta sin3 theta

Express each of the following as the sum or difference of sines and cosines: 2cos7 theta cos3 theta

Express each of the following as the sum or difference of sines and cosines: 2cos3 theta sin2 theta

Express each of the products into sums or difference of sines and cosines : 2sin5 theta*cos3 theta

Convert each of the following products into the sum or difference of sines and cosines: 2sin3 theta sin theta

Convert each of the following products into the sum or difference of sines and cosines: 2s in5 theta cos theta

Express each of that as the sum or difference of cosines and sines: 2sin3 theta.cos theta

Convert each of the following products into the sum or difference of sines and cosines: 2cos4 theta cos3 theta

Express each of the products into sums or difference of sines and cosines : 2cos3 theta*sin2 theta

RD SHARMA-TRANSFORMATION FORMULAE-Solved Examples And Exercises
  1. Prove that: cos Acos(60^0-A)cos(60^0+A)=1/4cos3A

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. Show that: s in 50^0cos85^0=(1-sqrt(2)sin35^0)/(2sqrt(2))

    Text Solution

    |

  11. sin25^@cos115^@=1/2(sin40^@-1)

    Text Solution

    |

  12. Prove that: 4\ costhetacos\ (pi/3+theta)cos(pi/3-theta)=cos3theta

    Text Solution

    |

  13. Prove that: cos 10^@cos30^@cos 50^@cos 70^@=3/(16)

    Text Solution

    |

  14. Prove that: sin20^@sin40^@sin80^@=(sqrt(3))/8

    Text Solution

    |

  15. Prove that: t a n 20^@tan40^@tan60^@tan80^@=3

    Text Solution

    |

  16. Prove that: sin 10^@sin 50^@sin 60^@sin 70^@=(sqrt(3))/(16)

    Text Solution

    |

  17. Prove that: cos40^0cos80^0cos 160^0=\ -1/8

    Text Solution

    |

  18. Prove that: \ cos 20^0cos 40^0cos 80^0=1/8

    Text Solution

    |

  19. Prove that: tan 20^@tan 30^@tan 40^@tan 80^@=1

    Text Solution

    |

  20. Prove that: sin20^0sin40^0sin60^0sin80^0=3/(16)

    Text Solution

    |