Home
Class 12
PHYSICS
If y=5 (sin 100^(@)cos 27^(@) +cos 100^(...

If `y=5 (sin 100^(@)cos 27^(@) +cos 100^(@)sin 27^(@))` the value of y is :-

A

5

B

10

C

4

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
`y=5 (sin 100^(@) cos 27^(@)+cos 100^(@)sin 27^(@))`
`=5 sin (100^(@)+27^(@))=5 sin 127^(@)`
`=5 sin (90+37^(@))=5 cos 37^(@) =4`
as `sin (A+B) =sin A cos B + cos A sin B`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If cos 18^(@) - sin 18^(@) = k sin 27^(@) , then k =

Evaluate sin 27 ^(@) sin 63 ^(@) - cos 63^(@) cos 27 ^(@)

Find the value of 5(sin100^(@)cos27^(@)+sin27^(@)cos100^(@)).

The value of (sin 1^(@) +sin 3^(@) + sin 5^(@) +sin 7^(@))/(cos 1^(@)*cos 2^(@)sin 4^(@)) is __________

Consider the system of equations x cos^(3) y+3x cos y sin^(2) y=14 x sin^(3) y+3x cos^(2) y sin y=13 The value/values of x is/are

If y=cos ^(-1)sin x , then dy/dx

The value of 2 cos10^(@)+sin 100^(@)+sin 1000^(@)+sin 10000^(@) is

In radians , sin^(-1) (cos 100^(@)) =

If x=cos^(7)theta and y=sin theta and (d^(3)x)/(dy^(3))=105/a sin (a theta) then value of a is

Find the value of sin 27^(@)-cos27^(@) ?

ALLEN-TEST PAPER 4-PHYSICS
  1. Light of wavelength 200 nm incident on a metal surface of threshold wa...

    Text Solution

    |

  2. For a photoelectric experiment graph between kinetic energy of fastest...

    Text Solution

    |

  3. If y=5 (sin 100^(@)cos 27^(@) +cos 100^(@)sin 27^(@)) the value of y i...

    Text Solution

    |

  4. Given that =(10)/(sin x+ sqrt3 cos x) the minimum positive value of y ...

    Text Solution

    |

  5. Differentiation of cos (sqrt(x)) with respect to x is

    Text Solution

    |

  6. Given a function y=x^(2)-2sqrt(x). What is rate of change in y with re...

    Text Solution

    |

  7. If y=(x^(2))/((x+1))"then"(dy)/(dx)"is":-

    Text Solution

    |

  8. If y=log(e)x+sinx+e^(x)" then "(dy)/(dx) is

    Text Solution

    |

  9. If y=x^(3)cosx" then "(dy)/(dx)=……………………

    Text Solution

    |

  10. If the velocity of a paraticle moving along x-axis is given as v=(4t^(...

    Text Solution

    |

  11. (5)Value of underset(0)overset(2)int3x^(2)dx+underset(0)overset(pi/2)i...

    Text Solution

    |

  12. The value of integral underset(2)overset(4)int(dx)/(x) is :-

    Text Solution

    |

  13. Area bounded by curve y=sinx, whit x-axis, when x varies from 0 to (pi...

    Text Solution

    |

  14. If velocity of a particle is given by v=(2t+3)m//s. Then average veloc...

    Text Solution

    |

  15. Angle of elevation of top of building is 30^(@) from place A and beco...

    Text Solution

    |

  16. If Electric-current 'i' time (t) graph shown in figure. The average cu...

    Text Solution

    |

  17. A man travels one-third part of his total distance with speed v(1) and...

    Text Solution

    |

  18. The position 'x' of a particle moving along x-axis at any instant t re...

    Text Solution

    |

  19. The position x of a particle w.r.t. time t along x-axis is given by a ...

    Text Solution

    |

  20. For an object starting from rest with uniform acceleration which of th...

    Text Solution

    |