Home
Class 10
MATHS
Prove the following identities : (cos^...

Prove the following identities :
`(cos^(3)theta+sin^(3)theta)/(costheta+sintheta)+(cos^(3)theta-sin^(3)theta)/(costheta-sintheta)=2`

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO TRIGONOMETRY

    KUMAR PRAKASHAN|Exercise Practice Thoroughly|19 Videos

  • INTRODUCTION TO TRIGONOMETRY

    KUMAR PRAKASHAN|Exercise EXERCISE 8.1|18 Videos

  • INTRODUCTION TO TRIGONOMETRY

    KUMAR PRAKASHAN|Exercise Other Important Examples|28 Videos

  • COORDINATE GEOMETRY

    KUMAR PRAKASHAN|Exercise Objective Questions (True or false)|5 Videos

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    KUMAR PRAKASHAN|Exercise Test Your Skills|48 Videos

Similar Questions

Explore conceptually related problems

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

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

Prove the following identities: (tan^(3)theta)/(1+tan^(2)theta)+(cot^(3)theta)/(1+cot^(2)theta)=secthetacosectheta-2sinthetacostheta

Prove the following identities: (1+tan^(2)theta)+(1+1/(tan^(2)theta))=1/(sin^(2)theta-sin^(4)theta)

Prove the following identities : (tantheta+1/(costheta))^(2)+(tantheta-1/(costheta))^(2)=2((1+sin^(2)theta)/(1-sin^(2)theta))

Prove the following : (All angles are acute angles.) (sintheta+costheta)/(sintheta-costheta)+(sintheta-costheta)/(sintheta+costheta)=2/(sin^(2)theta-cos^(2)theta)

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

Evaluate : 2(sin^(6)theta+cos^(6)theta)-3(sin^(4)theta+cos^(4)theta)+4(sin^(2)theta+cos^(2)theta)

z=i+sqrt(3)=r(cos theta+sin theta)

KUMAR PRAKASHAN-INTRODUCTION TO TRIGONOMETRY-Test Your Skills
  1. Express each of the following in terms of trigonometric ratios of ang...

    Text Solution

    |

  2. Express each of the following in terms of trigonometric ratios of ang...

    Text Solution

    |

  3. Prove that : tan 20° tan 35° tan 45° tan 55° tan 70° = 1

    Text Solution

    |

  4. Prove that : (cos80^(@))/(sin10^(@))+cos59^(@)cosec31^(@)=2

    Text Solution

    |

  5. If sin theta = cos (theta-45°), where theta and theta- 45° are acute a...

    Text Solution

    |

  6. Evaluate : ( 1 ) cosec (65° +theta) -sec (25° - theta) - tan (55° + ...

    Text Solution

    |

  7. Express all the other trigonometric ratios of angleA in terms of sin ...

    Text Solution

    |

  8. If sintheta=1/3 find the value of 2cot^(2)theta+2.

    Text Solution

    |

  9. Evaluate : 2(sin^(6)theta+cos^(6)theta)-3(sin^(4)theta+cos^(4)theta)...

    Text Solution

    |

  10. Prove the following identities : sec^(2)theta-cos^(2)theta=sin^(2)th...

    Text Solution

    |

  11. Prove the following identities : ((1+tan^(2)A)cotA)/(cosec^(2)A)=tan...

    Text Solution

    |

  12. Prove the following identities : 1/( sectheta-tantheta)-1/(costheta)...

    Text Solution

    |

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

    Text Solution

    |

  14. Prove the following identities : (tanA)/(secA-1)+(tanA)/(secA+1)=2co...

    Text Solution

    |

  15. Prove the following identities : (cottheta+cosectheta-1)/(cottheta-c...

    Text Solution

    |

  16. Prove the following identities : (tantheta+1/(costheta))^(2)+(tanthe...

    Text Solution

    |

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

    Text Solution

    |

  18. Prove the following identities : (1+tan^(2)theta)/(1+cot^(2)theta)=(...

    Text Solution

    |

  19. Prove the following identities : (cos^(3)theta+sin^(3)theta)/(costhe...

    Text Solution

    |

  20. If tan theta +sin theta = p and tan theta-sin theta = q, prove that p^...

    Text Solution

    |