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

Prove the following identities, where the angles involved are acute angles for which the expressions are defined. : `(cosectheta-cottheta)^2=(1-costheta)/(1+costheta)` .

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO TRIGONOMETRY

    MBD|Exercise EXERCISE|176 Videos

  • COORDINATE GEOMETRY

    MBD|Exercise EXERCISE|64 Videos

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    MBD|Exercise EXERCISE|183 Videos

Similar Questions

Explore conceptually related problems

Prove the following identities, where the angles involved are acute angles for which the expressions are defined. : (tantheta)/(1-cottheta)+(cottheta)/(1-tantheta)=1+secthetacosectheta .

Prove the following identities, where the angles involved are acute angles for which the expressions are defined. : (sintheta-2sin^3theta)/(2cos^3theta-costheta) =tantheta .

Prove the following identities, where the angles involved are acute angles for which the expressions are defined. : (1+secA)/(secA)=(sin^2A)/(1-cosA) .

Prove that the following identities, where the angles involved are acute angles for which the expressions are defined : (sin theta - 2 sin^(3) theta)/(2 cos^(3) theta - cos theta) = tan theta

Prove the following identities, where the angles involved are acute angles for which the expressions are defined. : sqrt((1+sinA)/(1-sinA))=secA+tanA .

Prove the following identities, where the angles involved are acute angles for which the expressions are defined. : ((1+tan^2A)/(1+cot^2A))=((1-tanA)/(1-cotA))^2=tan^2A .

MBD-INTRODUCTION TO TRIGONOMETRY-EXERCISE
  1. Prove the following identities, where the angles involved are acute an...

    Text Solution

    |

  2. In triangleABC, right angled at A, if AB = 12 cm, AC = 5 cm and BC = ...

    Text Solution

    |

  3. In triangleOPQ, right angled at P, OP = 7 cm and OQ - PQ = 1 cm. Deter...

    Text Solution

    |

  4. If sintheta=sqrt3costheta , find all the six T-ratios..

    Text Solution

    |

  5. If sin A = 1/3 evaluate the cos A cosec A + tan A sec A.

    Text Solution

    |

  6. If tantheta=12/5, calculate sintheta , costheta and verify sin^2theta+...

    Text Solution

    |

  7. If tan A = sqrt2-1 show that (tanA)/(1+tan^2A)=(sqrt2)/4 = sinA cos A...

    Text Solution

    |

  8. If sec theta=5/4 verify that (tantheta)/(1+tan^2theta)=(sintheta)/(sec...

    Text Solution

    |

  9. If sin B=1/2 find the value of 3 cosB-4cos^3B .

    Text Solution

    |

  10. In a right angled triangle ABC, right angled at B, if tan A = 1, then ...

    Text Solution

    |

  11. If cottheta=3/4 prove that sqrt((sectheta-cosectheta)/(sectheta+cosec...

    Text Solution

    |

  12. If tan theta=3/4 , show that sqrt((1-sintheta)/(1+sintheta))=1/2 .

    Text Solution

    |

  13. In triangleABC , right angle at C, if tan A =1/sqrt3. Show that sin A...

    Text Solution

    |

  14. If cosec A = 2 , find the value of 1/(tan A)+(sinA)/(1+cosA).

    Text Solution

    |

  15. If cot B=12/5 Prove that tan^2B-sin^2B=sin^4B.sec^2B .

    Text Solution

    |

  16. If tantheta+(1)/(tantheta)=2 , find the value of tan^2theta+(1)/(tan^2...

    Text Solution

    |

  17. If 3cos theta-4sintheta=2costheta+sintheta find tantheta .

    Text Solution

    |

  18. If sintheta=3/5, evaluate [(costheta-(1/tantheta))/(2cottheta)] .

    Text Solution

    |

  19. What is the value of sina . .

    Text Solution

    |

  20. If A=30^@ verify that :- cos2A= (1-tan^2A)/(1+tan^2A) .

    Text Solution

    |

  21. If A=30^@ verify that :- cos2A= cos^2A-sin^2A .

    Text Solution

    |