Home
Class 10
MATHS
Prove the following identities,where the...

Prove the following identities,where the angles involves are acute angles for which the expressions are defined:(i)`(1-costheta)/(1+costheta)=(Cosectheta-Cottheta)^2`

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO TRIGONOMETRY

    R G PUBLICATION|Exercise EXERCISE|95 Videos

  • CONSTRUCTIONS

    R G PUBLICATION|Exercise EXERCISE|1 Videos

  • MODEL PAPER 1

    R G PUBLICATION|Exercise EXERCISE|35 Videos

Similar Questions

Explore conceptually related problems

Prove the following identities,where the angles involves are acute angles for which the expressions are defined:(iii) tantheta/(1-Cottheta)+Cottheta/(1-tantheta)=Sectheta Cosectheta+1

Prove the following identities,where the angles involves are acute angles for which the expressions are defined:(vii) (Sintheta-2Sin^3theta)/(2Cos^3theta-Costheta)=tantheta

Prove the following identities,where the angles involves are acute angles for which the expressions are defined:(iv) (1+SecA)/SecA=Sin^2A/(1-CosA)

Prove the following identities,where the angles involves are acute angles for which the expressions are defined:(ii) (1+SinA)/CosA+CosA/(1+SinA)=2SecA

Prove the following identities,where the angles involves are acute angles for which the expressions are defined:(vi) sqrt((1+SinA)/(1-SinA))=SecA+tanA

Prove the following identities,where the angles involves are acute angles for which the expressions are defined:(ix) (CosecA-SinA)(SecA-CosA)=1/(tanA+cotA)

Prove the following identities,where the angles involves are acute angles for which the expressions are defined:(v) (CosA-SinA+1)/(CosA+SinA-1)=CosecA+CotA using the identity cosec^2 A=1+cot^2 A

Prove the following identities, where the angles involves are acute angles for which the expressions are defined:(x) ((1+tan^2A)/(1+Cot^2A))^2=((1-tan^2A)/(1-Cot^2A))^2=tan^4A

Prove the following identities,where the angles involves are acute angles for which the expressions are defined:(viii) (SinA+CosecA)^2+(CosA+SecA)^2=7+tan^2+Cot^2A

Prove the following identities using geometry 1+tan^2theta=sec^2theta

R G PUBLICATION-INTRODUCTION TO TRIGONOMETRY-EXERCISE
  1. Choose the correct option.Justify your choice:(iii)(secA+tanA)(1-sinA)...

    Text Solution

    |

  2. Choose the correct option.Justify your choice:(iv)(1+tan^2A)/(1+cot^2A...

    Text Solution

    |

  3. Prove the following identities,where the angles involves are acute ang...

    Text Solution

    |

  4. Prove the following identities,where the angles involves are acute ang...

    Text Solution

    |

  5. Prove the following identities,where the angles involves are acute ang...

    Text Solution

    |

  6. Prove the following identities,where the angles involves are acute ang...

    Text Solution

    |

  7. Prove the following identities,where the angles involves are acute ang...

    Text Solution

    |

  8. Prove the following identities,where the angles involves are acute ang...

    Text Solution

    |

  9. Prove the following identities,where the angles involves are acute ang...

    Text Solution

    |

  10. Prove the following identities,where the angles involves are acute ang...

    Text Solution

    |

  11. Prove the following identities,where the angles involves are acute ang...

    Text Solution

    |

  12. Prove the following identities, where the angles involves are acute an...

    Text Solution

    |

  13. The maximum value of sintheta,0lethetale90^@ is

    Text Solution

    |

  14. The maximum value of costheta,0lethetale90^@ is

    Text Solution

    |

  15. The value of sin(90^@-theta) is

    Text Solution

    |

  16. The value of cos1^@cos2^@cos3^@....cos180^@ is

    Text Solution

    |

  17. The value of sin0^@sin1^@sin2^@sin3^@.....sin90^@

    Text Solution

    |

  18. tan10^@tan15^@tan75^@tan80^@ is

    Text Solution

    |

  19. The value of tan1^@tan2^@tan3^@....tan89^@

    Text Solution

    |

  20. The value of cos1^@cos2^@cos3^@....cos90^@ is

    Text Solution

    |