Home
Class 10
MATHS
Prove each of the following identities :...

Prove each of the following identities :
` (1+ cos theta - sin^(2) theta)/(sin theta (1+ cos theta)) = cot theta `

Text Solution

Verified by Experts

Write `sin^(2)theta =(1-cos^(2)theta).`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC IDENTITIES

    RS AGGARWAL|Exercise Exercise 13B|15 Videos

  • TRIGONOMETRIC IDENTITIES

    RS AGGARWAL|Exercise Exercise 13C|40 Videos

  • TRIGONOMETRIC IDENTITIES

    RS AGGARWAL|Exercise Test Yourself|20 Videos

  • TRIANGLES

    RS AGGARWAL|Exercise Test Yourself|20 Videos

  • TRIGONOMETRIC RATIOS

    RS AGGARWAL|Exercise Exercise 10|35 Videos

Similar Questions

Explore conceptually related problems

Prove: (1+cos theta-sin^(2)theta)/(sin theta(1+cos theta))=cot theta

Show that ((1 + cos theta - sin ^(2) theta)/( sin theta (1 + cos theta ))) = cot theta

Prove each of the following identities : (cos^(3) theta + sin^(3) theta)/(cos theta + sin theta ) + (cos^(3) theta - sin^(3) theta)/(cos theta - sin theta ) = 2

Prove each of the following identities : (i) (1+ cos theta + sin theta)/(1+ cos theta - sin theta) =(1+ sin theta)/(cos theta) (ii) (sin theta + 1- cos theta)/(cos theta - 1 + sin theta) = (1+ sin theta)/(cos theta)

Prove each of the following identities : (i) (sin theta - cos theta)/(sin theta + cos theta) + ( sin theta+ cos theta)/(sin theta - cos theta) = (2)/((2 sin^(2) theta -1)) (ii) (sin theta + cos theta ) /(sin theta - cos theta) + ( sin theta - cos theta) /(sin theta + cos theta) = (2) /((1- 2 cos^(2) theta))

Prove each of the following identities : (sin theta + cos theta)/(sin theta - cos theta) + (sin theta - cos theta)/(sin theta + cos theta) = (2) /((sin^(2) theta - cos^(2) theta)) = (2) /((2sin^(2) theta -1))

Prove each of the following identities : (cos theta) /((1- tan theta)) - (sin^(2) theta)/((cos theta - sin theta)) = (cos theta + sin theta)

Prove each of the following identities : ( cos^(2) theta)/((1- tan theta)) + (sin^(3) theta)/((sin theta - cos theta)) = (1+ sin theta cos theta)

Prove each of the following identities : (1+ tan theta + cot theta )( sin theta - cos theta ) =((sec theta)/("cosec"^(2) theta ) - ("cosec"theta)/(sec^(2)theta))

Prove the following identities: (cos ec theta-sin theta)(sec theta-cos theta)=(1)/(tan theta+cot theta)

RS AGGARWAL-TRIGONOMETRIC IDENTITIES-Exercise 13A
  1. Prove each of the following identities : (i) (tan theta)/((sec theta...

    Text Solution

    |

  2. Prove each of the following identities : (i) (sec theta -1)/(sec the...

    Text Solution

    |

  3. Prove each of the following identities : (i) sqrt((1+ sin theta)/(1-...

    Text Solution

    |

  4. Prove each of the following identities : (cos^(3) theta + sin^(3) th...

    Text Solution

    |

  5. Prove each of the following identities : (sin theta)/((cot theta + "...

    Text Solution

    |

  6. Prove each of the following identities : (i) (sin theta - cos theta)...

    Text Solution

    |

  7. Prove each of the following identities : (1+ cos theta - sin^(2) th...

    Text Solution

    |

  8. Prove each of the following identities : (i) ("cosec"theta + cot the...

    Text Solution

    |

  9. Prove each of the following identities : (i) (1+ cos theta + sin the...

    Text Solution

    |

  10. Prove that (sin theta)/(sec theta+tan theta-1)+cos theta/(cosec theta+...

    Text Solution

    |

  11. Prove each of the following identities : (sin theta + cos theta)/(s...

    Text Solution

    |

  12. (cos theta cosec theta-sin theta sec theta)/(cos theta+sin theta)=cose...

    Text Solution

    |

  13. Prove each of the following identities : (1+ tan theta + cot theta )...

    Text Solution

    |

  14. What will be the value of following identities : (cot^(2) theta (sec...

    Text Solution

    |

  15. Prove the following identity: (1/(sec^2theta-cos^2theta)+1/(cos e c^2t...

    Text Solution

    |

  16. Prove each of the following identities : ((sin A - sin B))/((cos A ...

    Text Solution

    |

  17. Prove: (tanA+tanB)/(cotA+cotB)=tanAtanB

    Text Solution

    |

  18. Show that none of the following is an identity: (i) cos^(2) theta +...

    Text Solution

    |

  19. Prove that: (sin theta - 2 sin^(3) theta) = (2cos^(3) theta - cos the...

    Text Solution

    |

  20. If 1+sin^2 theta= 3 sintheta cos theta, then prove that tan theta = 1 ...

    Text Solution

    |