Home
Class 11
MATHS
The value of cos 52^0+cos 68^0+cos 172^0...

The value of `cos 52^0+cos 68^0+cos 172^0` is `0` b. `1` c. `2` d. `3//2`

Text Solution

Verified by Experts

`cos 52° + cos 68° + cos 172°`

`= cos(60° – 8°) + cos(60° + 8°) + cos(180° – 8°)`

Using the formula `cos(A + B) + cos(A – B) = 2 cos A cos B,`

`= 2 cos 60° cos 8° – cos 8°`

...
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

The value of cos52^(@)+cos68^(@)+cos172^(@)

The value of cos52^(@)+cos68^(@)+cos172^(@) is

The value of cos 52^(@) + cos 68^(@) + cos 172^(@) is

The value of cos(2cos^(-1)0.8) is

cos 40^0+cos 80^0+cos 160^0+cos 240^0= 0 b. 1 c. 1//2 d. -1//2

cos52^(@)+cos68^(@)+cos172^(@)=?

The value of cos1^(0)cos2^(0)cos3^(0)cos179^(@) is 1/sqrt(2) b.0 c.1 d.-1

cos1^(0)cos2^(0)...cos179^(@)

RD SHARMA-TRANSFORMATION FORMULAE-Solved Examples And Exercises
  1. If (cosalpha+cosbeta)^2+(sinalpha+sinbeta)^2=lambdacos^2((alpha-beta)/...

    Text Solution

    |

  2. If sin A+sin B=alpha\ a n d\ cos A+cos B=beta, then write the value of...

    Text Solution

    |

  3. If cos A=m cos B , then write the value of cot((A+B)/2)cos((A-B)/2)

    Text Solution

    |

  4. Write the value of the expression (1-4sin1 0^0sin7 0^0)/(2sin1 0^0)

    Text Solution

    |

  5. If A+B=pi/3a n dcosA+cos B=1, then find the value of cos((A-B)/2)dot

    Text Solution

    |

  6. Write the value of sin 12^0sin48^0sin54^0dot

    Text Solution

    |

  7. If sin2A=lambdasin2B , then write the value of (lambda+1)/(lambda-1) .

    Text Solution

    |

  8. Write the value of (sin A+sin3A)/(cos A+cos3A) .

    Text Solution

    |

  9. If cos(A+B)sin(C-D)="cos"(A-B)"sin"(C+D) , then write the value of t a...

    Text Solution

    |

  10. cos 40^0+cos 80^0+cos 160^0+cos 240^0= 0 b. 1 c. 1//2 d. -1//2

    Text Solution

    |

  11. sin 163^0cos 347^0+s in 73^0s in 167^0= 1//2 b. 1 c. 0 d. none of the...

    Text Solution

    |

  12. If sin2theta+sin2varphi=1/2a n d\ cos2theta+cos2varphi=3/2 , then cos^...

    Text Solution

    |

  13. The value of cos 52^0+cos 68^0+cos 172^0 is 0 b. 1 c. 2 d. 3//2

    Text Solution

    |

  14. The value of sin 78^0-sin 66^0-sin 42^0+sin6^0 is -1 b. 1//2 c. -1//2 ...

    Text Solution

    |

  15. If sinalpha+sinbeta=a\ and\ cosalpha-cosbeta=b , then tan(alpha-beta)/...

    Text Solution

    |

  16. cos 35^0+cos 85^0+cos 155^0 adot\ 0 b. 1/(sqrt(2)) c. 1/(sqrt(3)) d. ...

    Text Solution

    |

  17. The value of sin 50^(0)-sin 70^0+sin 10^0 is equal to adot\ 0 b. 1 c. ...

    Text Solution

    |

  18. If sin47^0+sin 61^0-sin 11^0-sin 25^0 is equal to adot\ sin36^0 b. cos...

    Text Solution

    |

  19. If cos A=mcosB ,\ t h e ncot(A+B)/2cot(B-A)/2 adot\ (m-1)/(m+1) b. (m...

    Text Solution

    |

  20. If A ,\ B ,\ C are in A.P. then (sin A-sin C)/(cos C-cos A)= adot\ t ...

    Text Solution

    |