Home
Class 12
PHYSICS
what is the angle? when sin (theta)=4 an...

what is the angle? when `sin (theta)=4 and cos (theta)=5`

A

`tan^(-1)((4)/(5))`

B

`tan^(-1)((5)/(4))`

C

`tan^(-1)((5)/(8))`

D

`tan^(-1)((8)/(5))`

Text Solution

Verified by Experts

The correct Answer is:
C
`because u_(x)=40` and `u_(y)=25`
`therefore tan theta=(u_(y))/(u_(x))=(25)/(40)=(5)/(8)`
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A PALNE

    ALLEN |Exercise EXERCISE-3|41 Videos

  • MOTION IN A PALNE

    ALLEN |Exercise SOLVED EXAMPLE|28 Videos

  • MOTION IN A PALNE

    ALLEN |Exercise EXERCISE-1|99 Videos

  • KINEMATICS-2D

    ALLEN |Exercise Exercise (O-2)|47 Videos

  • NEWTON'S LAWS OF MOTION & FRICTION

    ALLEN |Exercise EXERCISE (JA)|4 Videos

Similar Questions

Explore conceptually related problems

If cot theta=(4)/(3) , then find the value of sin theta,cos theta and cos ectheta in first quadrant. If sin theta+cos ec theta=2 then find the value of sin^(8 )theta+cos ec^(8)theta .

If x and y are connected parametrically by the equations without eliminating the parameter, find (dy)/(dx) x=a (cos theta + theta sin theta),y= a (sin theta- theta cos theta)

If 3 sin theta + 4 cos theta=5 , then find the value of 4 sin theta-3 cos theta .

The diameter of the nine point circle of the triangle with vertices (3, 4), (5 cos theta, 5 sin theta) and (5 sin theta, -5 cos theta) , where theta in R , is

If the coordinates of a variable point be (cos theta + sin theta, sin theta - cos theta) , where theta is the parameter, then the locus of P is

Prove that (sin theta -cos theta+1 )/( sin theta + cos theta -1) =(1)/( sec theta -tan theta ) [use the identity sec ^(2) theta =1 +tan ^(2) theta ]

The possible values of theta in (0,pi) such that sin (theta) + sin (4theta) + sin(7theta) = 0 are

Consider a triangle PQR ,right at R ,in which PQ = 29 units ,QR =21 units and angle PQR =theta , then find the values of (i) cos ^(2) theta + sin ^(2) theta and (ii) cos ^(2) theta -sin ^(2) theta

The angle to the given by x = e ^(theta) cos theta, y = e ^(theta) sin theta at theta = ( pi)/(4) makes an angle with X-axis is___

ALLEN -MOTION IN A PALNE-EXERCISE-2
  1. In the Q.23, the maximum height attained by the arrow is:-

    Text Solution

    |

  2. In the Q.23, the vertical component of the velocity is:-

    Text Solution

    |

  3. what is the angle? when sin (theta)=4 and cos (theta)=5

    Text Solution

    |

  4. The ceiling of a hall is 40m high. For maximum horizontal distance, th...

    Text Solution

    |

  5. a body is thrown horizontally with a velocity sqrt(2gh) from the top o...

    Text Solution

    |

  6. When a particle is thrown horizontally, the resultant velocity of the ...

    Text Solution

    |

  7. A ball is projected upwards from the top of a tower with a velocity 50...

    Text Solution

    |

  8. A ball is thrown at different angles with the same speed u and from th...

    Text Solution

    |

  9. Two balls A and B are thrown with speeds u and u//2, respectively. Bot...

    Text Solution

    |

  10. At what angle with the horizontal should a ball be thrown so that the ...

    Text Solution

    |

  11. The velocity of projection of oblique projectile is (6hati+8hatj)ms^(...

    Text Solution

    |

  12. An aeroplane moving horizontally with a speed of 180km/hr. drops a foo...

    Text Solution

    |

  13. A plane is flying horizontally at 98ms^(-1) and releases and object wh...

    Text Solution

    |

  14. If the range of a gun which fires a shell with muzzle speed V is R , t...

    Text Solution

    |

  15. A stuntman plans to run across a roof top and then horizontally off it...

    Text Solution

    |

  16. The maximum range of a projecitle fired with some initial velocity is ...

    Text Solution

    |

  17. The angle of which the velocity vector of a projectile thrown with a v...

    Text Solution

    |

  18. Two particles are separated at a horizontal distance x as shown in (Fi...

    Text Solution

    |

  19. A particle is projected an angle of 45^(@) from 8m before the foot of ...

    Text Solution

    |

  20. From the the top of a tower 19.6 m high, a ball is thrown horizontally...

    Text Solution

    |