Home
Class 11
MATHS
If sintheta+costheta=m , then prove that...

If `sintheta+costheta=m ,` then prove that `sin^6theta+cos^6theta=(4-3(m^2-1)^2)/4,\ w h e r e\ m^2lt=2.`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS

    RD SHARMA ENGLISH|Exercise All Questions|120 Videos

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    RD SHARMA ENGLISH|Exercise All Questions|149 Videos

Similar Questions

Explore conceptually related problems

If sintheta+costheta=x , Prove that : sin^6theta+cos^6theta=(4-3(x^2-1)^2)/4

If sintheta+costheta=x , then show that: sin^(6)theta+cos^(6)theta=1-3/4(x^(2)-1)^(2)

If sintheta+sin^2theta=1 , prove that cos^2theta+cos^4theta=1

if sintheta-costheta=0, then the value of (sin^4theta+cos^4theta)

Prove that sin^6theta+cos^6theta=1-3sin^2thetacos^2theta

(m+2)sintheta+(2m-1)costheta=2m+1 then tan theta is

If sintheta+sin^2theta+sin^3theta=1, then prove that cos^6theta-4cos^4theta+8cos^2theta=4

Prove that cos^6 theta+ sin^6 theta= 1-3sin^2 theta cos^2 theta

If sintheta+sin^2theta=1, then prove that cos^(12)theta+3cos^(10)theta+3cos^8theta+cos^6theta-1=0 Given that sintheta=1-sin^2theta=1-sin^2theta=cos^2theta

If sintheta+sin^2theta=1, then prove that cos^(12)theta+3cos^(10) theta+3cos^8theta+cos^6theta-1=0

RD SHARMA ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. If t a ntheta=a/b ,\ show that (a\ sintheta-b costheta)/(\ a\ sinthet...

    Text Solution

    |

  2. If cosectheta-sintheta=a^3, sectheta-costheta=b^3, then prove that a^...

    Text Solution

    |

  3. If sintheta+costheta=m , then prove that sin^6theta+cos^6theta=(4-3(m^...

    Text Solution

    |

  4. Find the values of cos theta and tan theta when sin theta =-3/5 and pi...

    Text Solution

    |

  5. If cos theta= -1/2 and pi < theta < (3pi)/2 then find the value of 4ta...

    Text Solution

    |

  6. Prove that: sqrt((1-sintheta)/(1+sintheta))= sec theta- tan theta when...

    Text Solution

    |

  7. Find the values of the other five trigonometric functions I each of th...

    Text Solution

    |

  8. Find the values of the other five trigonometric functions in each of t...

    Text Solution

    |

  9. Find the values of the other five trigonometric functions in each of ...

    Text Solution

    |

  10. Find the values of the other five trigonometric functions in each of t...

    Text Solution

    |

  11. If sintheta=(12)/(13)a n d\ theta lies in the second quadrant, find th...

    Text Solution

    |

  12. If sintheta=3/5,tanphi=1/2 and pi/2ltthetaltpi phi<(3pi)/ 2="" ,="" fi...

    Text Solution

    |

  13. If costheta=-3/5 and pilttheta<(3pi)/2 find the values of other five ...

    Text Solution

    |

  14. Find the values of the following trigonometric ratio: sin315^0

    Text Solution

    |

  15. Find the values of the following trigonometric ratio: cos210^0

    Text Solution

    |

  16. Find the values of the following trigonometric ratio: "cos"(-480^0)

    Text Solution

    |

  17. Find the values of the following trigonometric ratio: sin(-1125^@)

    Text Solution

    |

  18. Prove that: cos510^0cos 330^0+sin 390^0cos 120^0=-1.

    Text Solution

    |

  19. Prove that ("cos"(90^0+theta)"sec"(-theta)"tan"(180^0-theta))/("sec"(3...

    Text Solution

    |

  20. If A ,\ B ,\ C ,\ D are angles of a cyclic quadrilateral, prove that c...

    Text Solution

    |