Home
Class 12
MATHS
Prove the following identities: 1/(sec...

Prove the following identities:
`1/(secA-tanA)-1/(cosA)=1/(cosA)-1/(secA+tanA)`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS [OR FUNCTIONS] OF POSITIVE ACUTE ANGLES

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams|1 Videos

  • TRIGONOMETRIC RATIOS [OR FUNCTIONS] OF POSITIVE ACUTE ANGLES

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Multiple Answers Type)|4 Videos

  • TRIGONOMETRIC RATIOS [OR FUNCTIONS] OF POSITIVE ACUTE ANGLES

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Assertion -Reason Type )|2 Videos

  • TRIGONOMETRIC RATIOS OF MULTIPLE ANGLES

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos

  • VECTOR

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMINATION|18 Videos

Similar Questions

Explore conceptually related problems

prove that 1/(secA-tanA)-1/(cosA)=1/(cosA)-1/(secA+tanA)

Prove the following identities: (1+secA+tanA)(1-cosecA+cotA)=2

Prove the following identities: sin A cos A (tanA+cotA)=1

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

Prove the following identities: (cottheta+cosectheta)^2=(1+costheta)/(1-costheta)

Prove the following identities: (1+sintheta)/(1-sintheta)=(sectheta+tantheta)^2

Prove the following identities: (sin theta-cos theta+1)/(sin theta+cos theta-1)=(1+sin theta)/(cos theta)

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

Prove the following identities: (cosphi)/(1+sinphi)+(1+sinphi)/(cos phi)=2secphi

Prove the following identities: tan 3A tan2 A tanA = tan 3 A - tan2A - tanA

CHHAYA PUBLICATION-TRIGONOMETRIC RATIOS [OR FUNCTIONS] OF POSITIVE ACUTE ANGLES-EXERCISE 2
  1. Prove the following identities: (sec theta-tan theta+1)/(sec theta+t...

    Text Solution

    |

  2. Prove the following identities: (sin theta-cos theta+1)/(sin theta+co...

    Text Solution

    |

  3. Prove the following identities: 1/(secA-tanA)-1/(cosA)=1/(cosA)-1/(s...

    Text Solution

    |

  4. Prove the following identities: (1-sin alpha+cosalpha)^2=2(1+cos alp...

    Text Solution

    |

  5. Prove the following identities: cos^8A-sin^8A=(1-2sin^2Acos^2A)(1-2s...

    Text Solution

    |

  6. Prove the following identities: sqrt((1-cos theta)/(1+cos theta))-co...

    Text Solution

    |

  7. Prove the following identities: cot^2alpha(secalpha-1)/(1+sinalpha)+...

    Text Solution

    |

  8. Prove the following identities: (cos alpha cos beta+sin alphasin bet...

    Text Solution

    |

  9. Solve : (0^@le thetale90^@): tan theta +cot theta=2

    Text Solution

    |

  10. Solve : (0^@le thetale90^@): 2cos^2 theta +5 sin theta =4

    Text Solution

    |

  11. Solve : (0^@le thetale90^@): tan^2 theta-(sqrt(3)+1) tan theta+sqrt...

    Text Solution

    |

  12. Solve : (0^@le thetale90^@): sec^2 theta+tan^2theta=7

    Text Solution

    |

  13. Solve : (0^@le thetale90^@): 2 sin ^2theta=3(1-cos theta)

    Text Solution

    |

  14. Solve : (0^@le thetale90^@): 2 sin theta tan theta +1=tan theta+2 s...

    Text Solution

    |

  15. If alpha, beta, gamma ,are positive acute angles and sin (alpha+beta-g...

    Text Solution

    |

  16. If A,B,C are the angles of an acute angled triangle and cos(B+C-A)=0, ...

    Text Solution

    |

  17. If 1+cos^2A=3 cos AsinA, find the value of cotA.

    Text Solution

    |

  18. If 3 sin theta+4cos theta=5(0lt theta lt pi/2), show that sin theta =3...

    Text Solution

    |

  19. If cosecalpha+cotalpha=a, prove that , cos alpha =(a^2-1)/(a^2+1).

    Text Solution

    |

  20. If 4xsec A =1+4x^2 , prove that, sec A +tan A=2xor,1/(2x).

    Text Solution

    |