Home
Class 11
MATHS
If costheta-sintheta=sqrt(2)sintheta, th...

If `costheta-sintheta=sqrt(2)sintheta`, then prove that:
`costheta+sintheta=sqrt(2)costheta`

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise EXERCISES 3C|18 Videos

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise EXERCISES 3D|38 Videos

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise EXERCISES 3A|11 Videos

  • STRAIGHT LINES

    NAGEEN PRAKASHAN|Exercise Exercise|206 Videos

Similar Questions

Explore conceptually related problems

If costheta +sin theta= sqrt(2)cos theta , then prove that costheta-sintheta =sqrt(2)sin theta

sintheta+costheta=sqrt(2)

If costheta-sintheta=sqrt(2)costheta , then find the value of costheta+sintheta .

If : cos theta-sintheta=sqrt2.sin theta, "then": costheta+sintheta=

If costheta+sintheta=sqrt(2)costheta , then costheta-sintheta is

If costheta+sintheta=sqrt(2)costheta ,then find the value of (costheta-sintheta)/(sintheta) .

If sintheta+costheta=sqrt(2)costheta , then the value of cottheta is

If sin theta+costheta=sqrt(2)costheta then what is (costheta-sintheta) equal to ?

If sintheta+costheta=sqrt(2)sintheta , then sintheta-costheta=?

Prove that- costheta.tantheta=sintheta

NAGEEN PRAKASHAN-TRIGNOMETRIC FUNCTIONS-EXERCISES 3B
  1. Prove that: (1-tanA)^(2)+(1-cotA)^(2)=(secA-"cosec"A)^(2)

    Text Solution

    |

  2. i) Prove that: (1+tan^(2)A)/(1-tan^(2)A) xx (2 cos^(2) A-1)=1 ii) Pr...

    Text Solution

    |

  3. Prove that: sinA(1+tanA)+cosA(1+cotA)= secA+"cosec"A

    Text Solution

    |

  4. Prove that: (1+cosA+sinA)/(1+cosA-sinA)=(1+sinA)/(cosA)

    Text Solution

    |

  5. Prove that: 2sec^(2)A-sec^(4)A-2"cosec"^(2)A+"cosec"^(4)A=cot^(4)A-t...

    Text Solution

    |

  6. Prove that: 1-(sin^(2)A)/(1+cotA)-(cos^(2)A)/(1+tanA)=sinA.cosA

    Text Solution

    |

  7. i) Prove that: (cot^(2)A)/(1-"cosec"A)^(2)=(1+sinA)/(1-sinA) ii) Pro...

    Text Solution

    |

  8. Prove that: (secAsecB+tanAtanB)^(2)-(secAtanB+tanAsecB)^(2)=1

    Text Solution

    |

  9. Prove that: 3(sinA-cosA)^(4)+6(sinA+cosA)^(2)+4(sin^(6)A+cos^(6)A)=13

    Text Solution

    |

  10. i) Prove that: [(1-sinA)/(1-secA)-(1+sinA)/(1+secA)]=2cotA(cosA-"cose...

    Text Solution

    |

  11. If costheta-sintheta=sqrt(2)sintheta, then prove that: costheta+sint...

    Text Solution

    |

  12. If asin^(2)theta+bcos^(2)theta=c, then prove that tan^(2)theta=(c-b)/(...

    Text Solution

    |

  13. i) If acostheta+bsintheta=m and asintheta-bcostheta=n, then prove that...

    Text Solution

    |

  14. If acostheta-bsintheta=c, then prove that: asintheta+bcostheta=+-sqr...

    Text Solution

    |

  15. If cottheta(1+sintheta)=4m and cottheta(1-sintheta)=4n, then prove tha...

    Text Solution

    |

  16. If tantheta+sintheta=m and tantheta-sintheta=n, then prove that: m^(2)...

    Text Solution

    |

  17. If acostheta+bsintheta=c, then prove that: asintheta-bcostheta=+-sqr...

    Text Solution

    |

  18. If (1-sinA)(1-sinB)(1-sinC)=(1+sinA)(1+sinB)(1+sinC), then prove that ...

    Text Solution

    |

  19. If tan^(2)theta=1-m^(2), then show that: sectheta+tan^(3)theta."cose...

    Text Solution

    |

  20. If sintheta+costheta=x, then show that: sin^(6)theta+cos^(6)theta=1-...

    Text Solution

    |