Home
Class 12
MATHS
The function f(x)=sqrt(3)cosx+sinx has a...

The function `f(x)=sqrt(3)cosx+sinx` has an amplitude of

A

1.37

B

1.73

C

2

D

2.73

Text Solution

Verified by Experts

The correct Answer is:
C
Graph the function and determine its maximum (2) and minimum (-2). Subtract and then divide by 2.
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    ENGLISH SAT|Exercise MCQs (Exercise)|30 Videos

  • TRIANGLE TRIGONOMETRY

    ENGLISH SAT|Exercise EXERCISES|13 Videos

  • VECTORS

    ENGLISH SAT|Exercise EXERCISES|3 Videos

Similar Questions

Explore conceptually related problems

The function f(x)=sinx+cosx will be

The domain of the function f(x)=sqrt( log_(2) sinx ) , is

The function f(x)=tan^(-1)(sinx+cosx) is an increasing function in

Is the function f(x) =sqrt(sinx) periodic?

Range of the function f(x)=|sinx|cosx|+cosx|sinx|| is [a,b] then (a+b) is equal to

Show that the function f(x)=|sinx+cosx| is continuous at x=pi .

The domain of the function f(x)=(1)/(sqrt(|cosx|+cosx)) is

The number of integers in the range of the function f(x)=|4((sqrt(cos"x")-sqrt(sinx))(sqrt(cos"x")+sqrt(sinx)))/(cosx+sinx)| is______

Show that the function f(x) = |sinx+cosx| is continuous at x = pi .

Prove that f(x)=sinx+sqrt(3)cosx has maximum value at x=pi/6 .

ENGLISH SAT-TRIGONOMETRIC FUNCTIONS-MCQs (Exercise)
  1. the pendulum on a clock swings through an angle 25^(@), and the tip sw...

    Text Solution

    |

  2. In the figure below, part of the graph of y=sin2x is shown. What are t...

    Text Solution

    |

  3. The figure below could be a portion of the graph whose equation is

    Text Solution

    |

  4. As theta increases from (pi)/(4) to (5pi)/(4), the value of 4"cos"(1)/...

    Text Solution

    |

  5. The function f(x)=sqrt(3)cosx+sinx has an amplitude of

    Text Solution

    |

  6. For what value of P is the period off the function y=(1)/(3)cosPx equa...

    Text Solution

    |

  7. If 0lexle(pi)/(2), what is the maximum value of the function f(x)="sin...

    Text Solution

    |

  8. If the graph in the figure below has an equation of the form y=sin(Mx+...

    Text Solution

    |

  9. If sinx=(5)/(13) and cosx=-(12)/(13), find the value of sin 2x.

    Text Solution

    |

  10. If tanA=cotB and angles A and B are acute, then

    Text Solution

    |

  11. If cosx=(sqrt(3))/(2), find cos2x.

    Text Solution

    |

  12. If sin37^(@)=z, express sin74^(@) in terms of z.

    Text Solution

    |

  13. If sinx=-0.6427, what is csc x?

    Text Solution

    |

  14. For what value(s) of x,0 lt x lt (pi)/(2), is sinxltcosx?

    Text Solution

    |

  15. What is the range of the function f(x)=5-6sin(pix+1)?

    Text Solution

    |

  16. Find the number of degrees is "sin"^(-1)(sqrt(2))/(2)

    Text Solution

    |

  17. Find the number of radians in cos^(-1)(-0.5624)

    Text Solution

    |

  18. Evaluate tan^(-1)(tan128^(@))

    Text Solution

    |

  19. Which of the following is (are) true? I. sin^(-1)1+sin^(-1)(-1)=0 ...

    Text Solution

    |

  20. Which of the following is a solution of cos3x=(1)/(2)?

    Text Solution

    |