Home
Class 10
MATHS
Prove: (cos^2theta)/(sintheta)-cos e c\ ...

Prove: `(cos^2theta)/(sintheta)-cos e c\ theta+sintheta=0`

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    RD SHARMA|Exercise All Questions|361 Videos

  • TRIGONOMETRIC RATIOS

    RD SHARMA|Exercise All Questions|249 Videos

Similar Questions

Explore conceptually related problems

Prove that (cos theta-sintheta)/(cos theta+sintheta)=sec 2 theta-tan 2theta .

Prove that- 1-cos^2theta/(1+sintheta)=sintheta

Prove (sin^3theta+cos^3theta)/(sintheta+costheta)=1-sinthetacostheta

Prove that: (sin2theta)/(costheta cos3theta)+(sin4theta)/(cos3theta.cos5theta)+(sin6theta)/(cos5theta.cos7theta)+… to terms = 1/(2sintheta) [sec(2n+1)theta-sectheta]

If : cos theta+sintheta=1, "then" : cos theta-sintheta

(sintheta+sin2theta)/(1+costheta+cos2theta) =

(sintheta+sin2theta)/(1+costheta+cos2theta)=?

The value of (sin^3theta+cos^3theta)/(sintheta+costheta) +sin theta cos theta is:

Prove that : (sintheta-costheta)/(sintheta+costheta)+(sintheta+costheta)/(sintheta-costheta)=(2)/(2sin^(2)theta-1)

If A=[(cos^2theta,costheta sintheta),(cos theta sintheta, sin^2theta)] and B=[(cos^2 phi, cos phi sin phi),(cos phisinphi,sin^2phi)], show that AB is zero matrix if theta and phi differ by an odd multiple of pi/2.

RD SHARMA-TRIGONOMETRIC IDENTITIES-All Questions
  1. Prove the following trigonometric identities: cottheta-tantheta=(2cos...

    Text Solution

    |

  2. Prove the following trigonometric identities: tantheta-cottheta=(2sin...

    Text Solution

    |

  3. Prove: (cos^2theta)/(sintheta)-cos e c\ theta+sintheta=0

    Text Solution

    |

  4. Prove: 1/(1+sinA)+1/(1-sinA)=2sec^2A

    Text Solution

    |

  5. Prove the following identities: (costheta)/(1-sintheta)+(costheta)/(1...

    Text Solution

    |

  6. Prove: (1+tan^2theta)/(1+cot^2theta)=((1-tantheta)/(1-cottheta))^2=tan...

    Text Solution

    |

  7. Prove: (1+sectheta)/(sectheta)=(sin^2theta)/(1-costheta)

    Text Solution

    |

  8. Prove: sec^6theta=tan^6theta+3tan^2thetasec^2theta+1

    Text Solution

    |

  9. Prove: cos e c^6theta=cot^6theta+3cot^2thetacos e c^2theta+1

    Text Solution

    |

  10. ((1+tan^2theta)cottheta)/(c o s e c^2theta)=tantheta

    Text Solution

    |

  11. Prove: (1+cosA)/(sin^2A)=1/(1-cosA)

    Text Solution

    |

  12. Prove: (secA-tanA)/(secA+tanA)=(cos^2A)/((1+sinA)^2)

    Text Solution

    |

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

    Text Solution

    |

  14. Prove: sqrt((1+sinA)/(1-sinA))=secA+tanA

    Text Solution

    |

  15. Prove: sqrt((1-cosA)/(1+cosA))+sqrt((1+cosA)/(1-cosA))=2\ cos e c\ A

    Text Solution

    |

  16. Prove: (secA-tanA)^2=(1-sinA)/(1+sinA)

    Text Solution

    |

  17. Prove: (1-cosA)/(1+cosA)=(cotA-cos e c\ A)^2

    Text Solution

    |

  18. Prove: 1/(secA-1)+1/(secA+1)=2\ cos e c\ AcotA

    Text Solution

    |

  19. Prove the following identities: (cosA)/(1-tanA)+(sinA)/(1-cotA)=cos...

    Text Solution

    |

  20. Prove: (cos e c\ A)/(cos e c\ A-1)+(cos e c\ A)/(cos e c\ A+1)=2sec^2A

    Text Solution

    |