Home
Class 10
MATHS
Prove that (sec A + cos A) (sec A - cos ...

Prove that (sec A + cos A) (sec A - cos A) = `tan^2A+sin^2A` .

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 that sec A (1 -sin A) (sec A + tan A) =1.

(sec A - cos A) (cot A + tan A) = tan A sec A.

Prove that : (sec A - cosec A ) (1 + tan A + cot A)= tan A sec A-cot A cosec A .

Prove that (sec 8 A-1)/(sec 4A -1)=(tan 8A)/(tan 2A) .

Prove that cos A cos 2A cos 4A cos 8A= (sin 16A)/(16 sin A) .

Prove the following identities, where the angles involved are acute angles for which the expressions are defined. : (cosec A -sin A) (sec A - cos A) = sin A.cos A

Prove that: (cos 2A cos 3A-cos 2A cos 7A + cos A cos 10A)/(sin 4A sin 3A -sin 2A sin 5A + sin 4A sin 7A)= cot 6A cot 5A .

Prove that (cos A + cos B ) ^(2) +(sin A + sin B) ^(2) = 4 cos ^(2) ((A +B)/(2)).

If A + B + C =pi , prove that : cos 2A - cos 2B + cos 2C= 1-4 sin A cos B sin C .

Prove that : sin^2 A=cos^2 (A-B)+ cos^2 B-2 cos (A - B) cos A cos B .

MBD-INTRODUCTION TO TRIGONOMETRY-EXERCISE
  1. Prove that cosA/(1-tanA)-(sin^2A)/(cosA-sinA)== sin A + cos A. .

    Text Solution

    |

  2. Prove that sec A (1 -sin A) (sec A + tan A) =1.

    Text Solution

    |

  3. Prove that (sec A + cos A) (sec A - cos A) = tan^2A+sin^2A .

    Text Solution

    |

  4. Prove that (1-tan^2theta)/(cot^2theta-1)=tan^2theta,thetane45^@ .

    Text Solution

    |

  5. Prove that (sin^2A)/(cos^2A)+(cos^2A)/(sin^2A)=1/(sin^2Acos^2A)-2 .

    Text Solution

    |

  6. Prove that (tantheta+sintheta)/(tantheta-sintheta)=(sectheta+1)/(secth...

    Text Solution

    |

  7. Prove that ((1+sintheta)^2+(1-sintheta)^2)/(2cos^2theta)=(1+sin^2theta...

    Text Solution

    |

  8. Prove the following identities, where the angles involved are acute an...

    Text Solution

    |

  9. Prove that (1-costheta)/(1+costheta)=(cosectheta-cottheta)^2 .

    Text Solution

    |

  10. Prove that (1+sintheta)/costheta+costheta/(1+sintheta)=2sectheta .

    Text Solution

    |

  11. Prove that (1-sintheta)/(1+sintheta)=(sectheta-tantheta)^2 .

    Text Solution

    |

  12. Prove that (sintheta-2sin^3theta)/(2cos^3theta-costheta)=tantheta .

    Text Solution

    |

  13. tantheta-cottheta=(2sin^2theta-1)/(sinthetacostheta)=(1-2cos^2theta)/(...

    Text Solution

    |

  14. Prove that sintheta/(1-costheta)=cosectheta+cottheta .

    Text Solution

    |

  15. Prove that (1+tan^2theta)(1-sintheta)(1+sintheta)=1 .

    Text Solution

    |

  16. Prove that (1 +cottheta-cosectheta)(1+tantheta+sectheta)=2.

    Text Solution

    |

  17. Prove that (sintheta)/(cottheta+cosectheta)=2+sintheta/(cottheta-cosec...

    Text Solution

    |

  18. Prove that sin^4theta+cos^4theta=1-2sin^2thetacos^2theta .

    Text Solution

    |

  19. Prove that sin^4theta-cos^4theta=sin^2theta-cos^2theta .

    Text Solution

    |

  20. Prove that sintheta(cosectheta-sintheta)=cos^2theta .

    Text Solution

    |