Home
Class 11
MATHS
The general solution of the trigonometri...

The general solution of the trigonometric equation `sinx+cosx=1` is given by

A

`x=2npi;n=0,+-1,+-2,...`

B

`x=2npi+pi/2; n=0,+-1,+-2,.....`

C

`x=npi+(-1)^npi/4-pi/4;n=0,+-1,+-2,.... `

D

None of the above

Text Solution

AI Generated Solution

To solve the trigonometric equation \( \sin x + \cos x = 1 \), we can follow these steps: ### Step 1: Rewrite the equation The given equation is: \[ \sin x + \cos x = 1 \] ...
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

The general solution of the trigonometic equation "sin"x + "cos"x = 1 is given by

Find the general solution of the trigonometric equation : cos x = 1/2

Find general solution of the trigonometric equation sin5theta = 1

Find the general solution of the trigonometric equation : cos^3 4x=0

Find the general solution of the trigonometric equation : tan 5x =0

Find the general solution of the trigonometric equation : sin^2 2x = 0

Find the general solution of the trigonometric equation: sin 2x - sin 4x + sin 6x = 0

Solve the equation sinx+cosx=1

Find the general solution of the trigonometric equation: 2 cos^2 x + 3 sin x = 0

Find the general solution of the trigonometric equation: cos 3x + cos x - 2 cos x = 0

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. The real roots of the equation cos^7x+sin^4x=1 in the interval (-pi,pi...

    Text Solution

    |

  2. If the base angles of triangle are ((22)/(12))^@ and (112 1/2)^@ , th...

    Text Solution

    |

  3. The general solution of the trigonometric equation sinx+cosx=1 is give...

    Text Solution

    |

  4. Prove that (a^2sin(B-C))/(sinb+sinC)+(b^2"sin"(C-A))/(sinC+sinA)+(c^2"...

    Text Solution

    |

  5. The equation 2cos^2 (x/2)sin^2x=x^2+x^(-2);0

    Text Solution

    |

  6. The perimeter of a triangle ABC is saix times the arithmetic mean of ...

    Text Solution

    |

  7. One of the general solutions of 4sinthetasin2thetasin4theta=sin3theta ...

    Text Solution

    |

  8. If A=75^@,B=45^@, then prove that b+csqrt(2)=2a

    Text Solution

    |

  9. The general solution of the equation 8cosxcos2xcos4x=(sin6x)/(sin x) ...

    Text Solution

    |

  10. In any triangle. if(a^2-b^2)/(a^2+b^2)=("sin"(A-B))/("sin"(A+B)) , the...

    Text Solution

    |

  11. (sin^3theta-cos^3theta)/(sintheta-costheta)-(costheta)/(sqrt(1+cot^2th...

    Text Solution

    |

  12. ABCD is a trapezium such that A B||C Da n dC B is perpendicular to the...

    Text Solution

    |

  13. For 0ltx ,yltpi,the number of ordered pairs (x, y) satisfying system e...

    Text Solution

    |

  14. In ABC with usual notations, if r=1,r1=7 and R=3, the (a) ABC is equil...

    Text Solution

    |

  15. The least positive solution of cot(pi/(3sqrt3) sin2x)=sqrt3 lie (a) ...

    Text Solution

    |

  16. If 2sec^2A-sec^4A-2cos e c^2A+cos e c^4A=(15)/4,t h e n tan A is equal...

    Text Solution

    |

  17. In Delta ABC, a^(2)(s-a)+b^(2)(s-b)+c^(2)(s-c)=

    Text Solution

    |

  18. The minimum value of sqrt((3sin x-4cosx-10)(3sinx+4cosx-10)) is

    Text Solution

    |

  19. The number of real roots of the equation cos e ctheta+sectheta-sqrt(15...

    Text Solution

    |

  20. In triangle A B C ,D is on A C such that A D=B C' and BD=D C ,/D B C=2...

    Text Solution

    |