Home
Class 11
MATHS
Solve the equation 2sinx+cosy=2 for the ...

Solve the equation `2sinx+cosy=2` for the value of `xa n dydot`

Text Solution

Verified by Experts

`2sinx+cosy = 2`
`=>cosy = 2(1-sinx)->(1)`
As `-1 le cosy le 1`
`:. -1 le 2(1-sinx) le 1`
`=> -1/2 le 1-sinx le 1/2`
`=> 1/2 le sinx le 3/2`
As maximum value of `sinx` can be `1`,
`:. 1/2 le sinx le 1`
...
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

Solve the equation sinx+cosx=1

Solve the equation |z|=z+1+2idot

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

Solve the equation sqrt(a(2^x-2)+1)=1-2^x for every value of the parameter a.

Solve the equation (dy)/(dx)+ycotx=sinx

Solving the equation given below, let's write their values in respective spaces. 5x(-2) = 2 (2x + 1)

Solving the equation given below, let's write their values in respective spaces. frac(x)(2) + frac(x)(4) = 6

Solving the equation given below, let's write their values in respective spaces. 5x - 8 = 2x + 10

Value of the expression 2sinx-cos2x is

If the point (x ,-1),(3, y),(-2,3),a n d(-3,-2) taken in order are the vertices of a parallelogram, then find the values of xa n dydot

CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Prove that the equation 2sinx=|x|+a has no solution for a in((3sqrt3-p...

    Text Solution

    |

  2. Prove that tan(pi/(16))=sqrt(4+2sqrt(2))-(sqrt(2)+1)

    Text Solution

    |

  3. Solve the equation 2sinx+cosy=2 for the value of xa n dydot

    Text Solution

    |

  4. cos((2pi)/7)+cos((4pi)/7)+cos((6pi)/7)

    Text Solution

    |

  5. Prove that sintheta+sin3theta+sin5theta+.....+sin(2n-1)theta=(sin^2nth...

    Text Solution

    |

  6. Prove that (cos3x)/(sin2xsin4x)+(cos5x)/(sin4xsin6x)+(cos7x)/(sin6xsi...

    Text Solution

    |

  7. Prove that 2sin2^0+4sin4^0+6"sin"6^0+.......+180sin180^0=90cot1^0dot

    Text Solution

    |

  8. If A+B+C=180^@, then prove thatcos2A + cos2B +cos2C=-1-4cosA cosB cosC...

    Text Solution

    |

  9. Prove that in triangle A B C ,cos^2A+cos^2B-cos^2C=1-2sinAsinBcosCdot

    Text Solution

    |

  10. In triangle ABC, prove that sin(B+C-A)+sin(C+A-B)+sin(A+B-C) =4sin A...

    Text Solution

    |

  11. Prove that sum(k=1)^(n-1)(n-k)cos(2kpi)/n=-n/2, wherengeq3 is an int...

    Text Solution

    |

  12. If (tan(ln6)dottan(ln2)dot"tan"(ln3))/(tan(ln6)-tan(ln2)-"tan"(ln3))=k...

    Text Solution

    |

  13. In any triangle A B C ,sin^2A-sin^2B+sin^2C is always equal to (A) 2s...

    Text Solution

    |

  14. If cot^2Acot^2B=3, then the value of (2-cos2A)(2-cos2B) is

    Text Solution

    |

  15. If tanalpha=m/(m+1) and tanbeta=1/(2m+1) . Find the possible values o...

    Text Solution

    |

  16. If u=sqrt(a^2 cos^2 theta + b^2sin^2theta)+sqrt(a^2 sin^2 theta + b^2 ...

    Text Solution

    |

  17. The value of sin^2 12^0+sin^2 21^0+sin^2 39^0+sin^2 48^0-sin^2 9^0-sin...

    Text Solution

    |

  18. The value of f(x)=x^4+4x^3+2x^2-4x+7, when x=cot((11pi)/8) is

    Text Solution

    |

  19. Prove that sqrt3 "cosec" 20^@-sec20^@=4

    Text Solution

    |

  20. If (1+sint)(1+cost)=5/4 then find the value of (1-sint)(1-cost)dot

    Text Solution

    |