Home
Class 11
MATHS
Solve cos^(50)x-sin^(50)x=1...

Solve `cos^(50)x-sin^(50)x=1`

Text Solution

Verified by Experts

`cos^(50)x-sin^(50)x=1` or `cos^(50)x=1+sin^(50)x`
`L.H.S. le 1` and `R.H.S. ge 1`
Hence, we must have `cos^(50) x=1+sin^(50)x=1`
or `sin x=0`
or `x=n pi, n in Z`
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

Solve : cos^(-1)x-sin^(-1)x=cos^(-1)(xsqrt(3))

Solve: cos^4(x/5)+sin^2(x/5)=1

Solve 2 cos^(-1) x = sin^(-1) (2 x sqrt(1 - x^(2)))

Solve 2 cos^(-1) x + sin^(-1) x = (2pi)/(3)

Solve cos^(-1)(cosx)>sin^(-1)(sinx),x in [0,2pi]

Solve cos^(-1)x >cos^(-1)x^2

Solve: sin^(-1)x-cos^(-1)x = pi/6

Solve sin^(-1)x-cos^(-1)x=sin^(-1)(3x-2)

Solve : sin^(-1)x-cos^(-1)x=sin^(-1)(3x-2)

Solve : cos^-1 x - sin^-1 x = cos^-1 (x sqrt3) .

CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Given b=2,c=sqrt(3),/A=30^0 , then inradius of A B C is (sqrt(3)-1)/2...

    Text Solution

    |

  2. If A,B,C are angles of a triangle, then 2sin(A/2)cosec (B/2)sin(C/2)-s...

    Text Solution

    |

  3. Solve cos^(50)x-sin^(50)x=1

    Text Solution

    |

  4. sqrt((1-sintheta)/(1+sintheta))=sectheta-tantheta

    Text Solution

    |

  5. If two sides of a triangle are roots of the equation x^2-7x+8=0 and th...

    Text Solution

    |

  6. Prove that (1+sec2theta)(1+sec2^2theta)(1+sec2^3theta)…..(1+sec2^nthet...

    Text Solution

    |

  7. If 3sinx+4cosa x=7 has at least one solution, then find the possible v...

    Text Solution

    |

  8. Prove that (cos(90^0+theta)sec(-theta)"tan"(180^0-theta))/(sec(360^0-t...

    Text Solution

    |

  9. A sector O A B O of central angle theta is constructed in a circle wit...

    Text Solution

    |

  10. Prove that: (2cos2^ntheta+1)/(2costheta+1)=(2costheta-1)(2cos2theta-1)...

    Text Solution

    |

  11. Find the number of solution of sin^2xcos^2x=1+cos^2xsin^4x in the inte...

    Text Solution

    |

  12. Prove that sin(-420^0)cos(390^0)+cos(-660^0)(sin330^0)=-1

    Text Solution

    |

  13. If R(1) is the circumradius of the pedal triangle of a given triangle ...

    Text Solution

    |

  14. If x=sin(theta+(7pi)/(12))+sin(theta+pi/(12))+sin(theta+(3pi)/(12))dot...

    Text Solution

    |

  15. In any triangle, the minimum value of r1r2r3//r^3 is equal to

    Text Solution

    |

  16. Solve the equation for x: cos^2[pi/4(sinx+sqrt(2)cos^2x)]-tan^2[x+pi/4...

    Text Solution

    |

  17. Which of the following is the greates? cos e c1 (b) cos e c2 cos e c...

    Text Solution

    |

  18. If tan(pi/4+y/2)=tan^3(pi/4+x/2)dot Prove that (siny)= (sinx)(3+sin^2...

    Text Solution

    |

  19. Find the value of x for which f(x)=sqrt(sinx-cosx) is defined, x in [0...

    Text Solution

    |

  20. In triangle A B C ,b^2sin2C+c^2sin2B=2bc where b=20 ,c=21 , then i...

    Text Solution

    |