Home
Class 12
MATHS
For what value of x between 0^(@) and 36...

For what value of x between `0^(@)` and `360^(@)` does cos 2x=2cos x?

A

`68.5^(@)` or `291.5^(@)`

B

only `68.5^(@)`

C

`103.9^(@)` or `256.1^(@)`

D

`111.5^(@)` or `270^(@)`

Text Solution

Verified by Experts

The correct Answer is:
D
With your calculator in degree mode, plot the graphs of y=cos2x and y=2cosx in a [0,360] by [-2,2] window, Use CAL/intersect to find the correct answer, Choice E. [7]
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Calculate the values of x between 0^(@) and 360 ^(@) which satisfy sin (270^(@) - x) = cos 292 ^(@).

Find the values of theta between 0^(@) and 360^(@) which satisfy the equation 3 cos 2 theta - sin theta = 2.

Find the values of theta between 0^(@) and 360^(@) which satisfy the equations cos2theta=(1)/(2) .

If cot 3x= sin 45^(@) cos 45 ^(@) + cos 60 ^(@) , find the value of x between 0^(@) and 90 ^(@)

If Cos20^0=k and Cosx=2k^2-1 , then the possible values of x between 0^0 and 360^0 are

Find the values of x and y, lying between 0 and 360 which satisfy the equations, cos((1)/(2)y^(@)+71^(@))=-0.3420 .

Find the values of x and y, lying between 0 and 360 which satisfy the equations, sin2x^(@)=0.6428

The values of x_1 between 0 and 2pi , satisfying the equation cos3x+cos2x=sin(3x)/2+sinx/2 are

If K^(@) lies between 360^(@) and 540^(@) and K^(@) satisfies the equation 1+cos10x cos6x =2cos^(2)8x+sin^(2)8x," then "(K)/(10)=

If K^(@) lies between 360^(@) and 540^(@) and K^(@) satisfies the equation 1+cos10x cos6x =2cos^(2)8x+sin^(2)8x," then "(K)/(10)=

ENGLISH SAT-MODEL TEST 4-MCQ
  1. If 2 is a root of the equation x^4+2x^3-3x^2+kx-4=0 , then k=

    Text Solution

    |

  2. If sinA=3/5,90^(@)leAlt+180^(@),cosB=1/3, and 270^(@)leBle360^(@)" , "...

    Text Solution

    |

  3. A family has three children.Assuming that the probability of having a ...

    Text Solution

    |

  4. If sec 1.4=x, find the value of csc(2tan^(-1)x).

    Text Solution

    |

  5. The graph of|y-1|=|x+1| forms an X. The two branches of the X intersec...

    Text Solution

    |

  6. For what value of x between 0^(@) and 360^(@) does cos 2x=2cos x?

    Text Solution

    |

  7. An data set has a mean of 12 and a standard deviation of 2. If 5 is ad...

    Text Solution

    |

  8. For each positive integer n, let Sn=sum of all positive integers less ...

    Text Solution

    |

  9. If the graph of 3x^2+4y^2-6x+8y-5=0 and (x-2)^2=4(y+2) are drawn on th...

    Text Solution

    |

  10. If logx2=log3 x is satisfied by two values of x, what is their sum?

    Text Solution

    |

  11. which of the following lines are asymptotes for the graph of y=(3x^2-1...

    Text Solution

    |

  12. If (3sin2theta)/(1-cos2theta)=1/2 and 0^(@)letheta180^(@) , then theta...

    Text Solution

    |

  13. The cube in the figure above has edges of length 6 If point p is the m...

    Text Solution

    |

  14. Two positive numbers, a and b, are in the sequence 4. a,b,12. The firs...

    Text Solution

    |

  15. A sector of a circle has an arc length of 2.4 feet and an area of 14.3...

    Text Solution

    |

  16. The y-coordinate of one focus of the ellipse 36x^2+25y^2+144-50y-731=0...

    Text Solution

    |

  17. in the figure above, ABCD is a square. M is the point one-third of the...

    Text Solution

    |

  18. If f is a linear function such that f(7)=5,f(12)=-6, and f(x)=23.7, wh...

    Text Solution

    |

  19. Under which of the following conditions is (x(x-y))/(y) negative?

    Text Solution

    |

  20. The binary operation * is defined over the set of real number to be a*...

    Text Solution

    |