Home
Class 12
MATHS
Solve for x and y if sqrt(sinx cosy)=0 a...

Solve for x and y if `sqrt(sinx cosy)=0` and `2sin^(2)x - cos2y-2=0`

Text Solution

AI Generated Solution

To solve the equations \( \sqrt{\sin x \cos y} = 0 \) and \( 2\sin^2 x - \cos 2y - 2 = 0 \), we will follow these steps: ### Step 1: Solve the first equation Starting with the first equation: \[ \sqrt{\sin x \cos y} = 0 \] Squaring both sides gives: ...
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Section - J (Akash Challengers Question)|16 Videos
  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Section -H (Multiple True-false, type Questions)|9 Videos
  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - J|10 Videos
  • VECTOR ALGEBRA

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-J (Aakash Challengers Questions)|5 Videos

Similar Questions

Explore conceptually related problems

(v) Solve for x and y if (sqrt2 x+sqrt 3 y)=0 and (sqrt3 x- sqrt8 y)=0

Solve for x and y the system of equations sinx cos 2y=1 cosx sin 2y=0

Solve the equation for x and y , |sin x + cos x|^( sin^(2) x-1//4)=1+|siny| and cos^(2)y=1+sin^(2)y .

Solve for x: sin2x+sinx +cos2x+cosx +1 =0

Plot y=sinx and y=sin(x/2)

Solve the equaiton : 2 sin x + sqrt(3) sinx=0

Solve the following system of equations. sin x + cos y=1, cos 2x-cos 2y=1

Solve the equation : sin (x-y) = sqrt(3)/2 and cos (x+y) = 1/2

Solve the equation 4 sin x cos x + 2 sin x + 2 cos x + 1 = 0

Solve the equation (sqrt(3))/2sinx-cosx=cos^2x

AAKASH INSTITUTE ENGLISH-TRIGNOMETRIC FUNCTIONS -Section I (subjective Type questions)
  1. Solve 4cot2theta=cot^2theta-tan^2theta

    Text Solution

    |

  2. If 3tan(theta-15^0)=tan(theta+15^0)0<theta<90^0 , find theta .

    Text Solution

    |

  3. If cos 2theta=(sqrt(2)+1)(cos theta-(1)/(sqrt(2))), then the general v...

    Text Solution

    |

  4. Solve the equation sin^(2)ntheta - sin^(2)(n-1)theta = sin^(2)theta

    Text Solution

    |

  5. Solve the equation tan x + (cosx)/(sqrt(1+sin2x))=2.

    Text Solution

    |

  6. Let x and y, (0 lt x, y lt pi/2) satisfy 3sin^(2)x + 2sin^(2)y=1 and 3...

    Text Solution

    |

  7. If angles A and B satisfy sqrt(2)cosA = cosB + cos^(3)B and sqrt(2)sin...

    Text Solution

    |

  8. Let the sum of all solutions of the equation 3sqrt(3) sin^(3)x + cos^...

    Text Solution

    |

  9. Solve the equation, 4^(sin2x + 2cos^(2)x+ 2sin^(2)x)=64.

    Text Solution

    |

  10. If the equation sin6x + cos4x=-2 have a family of nonnegative solution...

    Text Solution

    |

  11. Find all values of x, y and k for which the system of equations. sin...

    Text Solution

    |

  12. Solve for x and y if sqrt(sinx cosy)=0 and 2sin^(2)x - cos2y-2=0

    Text Solution

    |

  13. In a triangle ABC, if the median and altitude from A trisect angle A, ...

    Text Solution

    |

  14. In a right angled triangle ABC, if r(in radius)=7 cm and R(Circumradiu...

    Text Solution

    |

  15. The two adjacent sides of a cyclic quadrilateral are 2a n d5 and the a...

    Text Solution

    |

  16. In a triangle ABC, perpendicualr distance of BC from the point of inte...

    Text Solution

    |

  17. In a triangleABC, if 1/r^(2) + 1/r(1)^(2) + 1/r(2)^(2) + 1/r(3)^(2) = ...

    Text Solution

    |

  18. The radius of the circle touching two sides AB and AC of a triangle AB...

    Text Solution

    |

  19. Find the cubic equation whose roots are the radius of three inscribed ...

    Text Solution

    |

  20. Let A(1)A(2)A(3)………………. A(14) be a regular polygon with 14 sides inscr...

    Text Solution

    |