Home
Class 10
MATHS
Prove the trigonometric identities: (1-...

Prove the trigonometric identities: `(1-sintheta)/(1+sintheta)=(sectheta-tantheta)^2`

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

Prove the following identities: (1-sintheta)/(1+sintheta)= (sectheta-tantheta)^2

Prove the following trigonometric identities: sqrt((1-sintheta)/(1+sintheta))=sectheta-tantheta sqrt((1+costheta)/(1-costheta))=cos e ctheta+cottheta

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

Prove the following trigonometric identities: (tantheta+sintheta)/(tantheta-sintheta)=(sectheta+1)/(sectheta-1)

Prove the following trigonometric identities: (sintheta)/(1-costheta)=cos e ctheta+cottheta

Prove that sqrt((1+sintheta)/(1-sintheta))=sectheta+tantheta

Prove that sqrt((1+sintheta)/(1-sin theta))=sectheta+tantheta .

Prove the following identities: (costheta)/(1-sintheta)+(costheta)/(1+sintheta)=2sectheta

Prove the following identities: (costheta)/(1-sintheta)+(costheta)/(1+sintheta)=2sectheta

Prove the following identities: (cos e ctheta-sintheta)(sectheta-costheta)=1/(tantheta+cottheta)

RD SHARMA ENGLISH-TRIGONOMETRIC IDENTITIES-All Questions
  1. Without using trigonometric tables, evaluate each of the following: (...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. Prove the trigonometric identities: sqrt((1-costheta)/(1+costheta))=co...

    Text Solution

    |

  5. If sectheta=x+1/(4x) ,prove that :sectheta+tantheta=2xor ,1/(2x)

    Text Solution

    |

  6. Prove that : (sinthetacos(90^0-theta)costheta)/(sin(90^0-theta))+(cost...

    Text Solution

    |

  7. If sectheta+tantheta=x , obtain the values of sectheta,t a ntheta and...

    Text Solution

    |

  8. If sintheta+sin^2theta=1,find the value of cos^(12)theta+3cos^(10)t...

    Text Solution

    |

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

    Text Solution

    |

  10. If cottheta+tantheta=xa n dsectheta-costheta=y , prove that (x^2y)^(2/...

    Text Solution

    |

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

    Text Solution

    |

  12. Prove the following identities: (sintheta+cos e ctheta)^2+(costheta+s...

    Text Solution

    |

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

    Text Solution

    |

  14. Solve: (1 + tantheta + sectheta)(1+ cottheta - cosectheta)

    Text Solution

    |

  15. Prove the following identities: 1/(cos e cA-cotA)-1/(sinA)=1/(sinA)-1/...

    Text Solution

    |

  16. Prove the following trigonometric identities: (sintheta)/(1-costheta)=...

    Text Solution

    |

  17. Prove the following trigonometric identities: sqrt((1-sintheta)/(1+sin...

    Text Solution

    |

  18. Prove the following identities: (1-sintheta)/(1+sintheta)= (sectheta...

    Text Solution

    |

  19. If cos e ctheta-sintheta=l and sectheta-costheta=m , prove that l^2m^2...

    Text Solution

    |

  20. If tanA=ntanB and sinA=msinB, prove that cos^2A=[m^2-1]/[n^2-1]

    Text Solution

    |