Home
Class 10
MATHS
If sintheta+costheta=x , Prove that : si...

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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    RD SHARMA ENGLISH|Exercise All Questions|366 Videos

  • TRIGONOMETRIC RATIOS

    RD SHARMA ENGLISH|Exercise All Questions|249 Videos

Similar Questions

Explore conceptually related problems

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.

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=1 , then the value of sin2theta is

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

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

If costheta+cos^2theta=1, Prove that: sin^(12)theta+3sin^(10)theta+3sin^8theta+sin^6 theta+2sin^4 theta+2sin^2theta-2=1

If cos theta-4sintheta=1, the sintheta+4costheta=

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

If sintheta-costheta=1, then the value of sin^3theta-cos^3theta is __________

RD SHARMA ENGLISH-TRIGONOMETRIC IDENTITIES-All Questions
  1. If cottheta=15/8, then Evaluate ((2+2sintheta)(1-sintheta))/((1+costhe...

    Text Solution

    |

  2. Prove the trigonometric identities: (tantheta)/(1-cottheta)+(cottheta)...

    Text Solution

    |

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

    Text Solution

    |

  4. Prove the following identities: ((1+sintheta)^2+(1-sintheta)^2)/(co...

    Text Solution

    |

  5. Prove that (1-sintheta+costheta)^2=2(1+costheta)(1-sintheta)

    Text Solution

    |

  6. Prove the following identities: (sinA+secA)^2+(cos"A"+"c o s e cA")^2=...

    Text Solution

    |

  7. Prove the identity: (1+tanAtanB)^2+(tan"A"-tan"B")^2=sec^2Asec^2B

    Text Solution

    |

  8. Prove the following identities: 2(sin^6theta+cos^6theta)-3(sin^4theta+...

    Text Solution

    |

  9. Prove the following identities: tan^2A-tan^2B=(cos^2B-cos^2A)/(cos^2Bc...

    Text Solution

    |

  10. If costheta+sintheta=sqrt(2)costheta, show that costheta-sintheta=sqrt...

    Text Solution

    |

  11. If tantheta+sintheta=m and tantheta-sintheta=n , show that m^2-n^2= 4...

    Text Solution

    |

  12. if (secA+tanA)(secB+tanB)(secC+tanC)=(secA-tanA)(secB-tanB) (secC-t...

    Text Solution

    |

  13. Prove the following identities: (cosA)/(1-sinA)+(sinA)/(1-cosA)+1 = (...

    Text Solution

    |

  14. If tan^2theta=1-a^2, prove thats e ctheta+tan^3thetacos e ctheta=(2-a^...

    Text Solution

    |

  15. If a sectheta+bt a ntheta+c=0 and psectheta+qtantheta+r=0, prove that...

    Text Solution

    |

  16. If sectheta+tantheta=p , show that (p^2-1)/(p^2+1)=sintheta

    Text Solution

    |

  17. If sintheta+costheta=pa n dsectheta+cos e ctheta=q , show that q(p^2-1...

    Text Solution

    |

  18. Without using trigonometric tables, evaluate each of the following: (...

    Text Solution

    |

  19. Without using trigonometric tables, evaluate each of the following: (s...

    Text Solution

    |

  20. Prove the trigonometric identities: (1-sintheta)/(1+sintheta)=(secthe...

    Text Solution

    |