Home
Class 12
MATHS
If tantheta =a/b, find the value of (bco...

If `tantheta =a/b`, find the value of `(bcostheta-asintheta)/(b cos theta+a sin theta)`.

Text Solution

Verified by Experts

The correct Answer is:
`(b^2-a^2)/(b^2+a^2)`
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

If tan theta = a/b then find the simpliest value of (b cos theta-a sin theta)/(b cos theta+ a sin theta)

If tan theta = 4/3 , find the value of (sin theta + cos theta) .

If tan theta = -4/3 , find the value of (sin theta + cos theta) .

If theta be a positive acute angle and tan theta=(a)/(b) , then find the value of (a sin theta-b cos theta)/(a sin theta+b cos theta).

If cot theta = (3)/(4) find the value of : ( sin theta- cos theta)/(sin theta+cos theta)

If tantheta+cottheta=2 find the value of theta

If tan theta=(a)/(b) , then find the value of (sin theta)/(cos^(8)theta)+(cos theta)/(sin^(8)theta) .

If tan (theta + 15^@) = sqrt3 , find the value of sin theta + cos theta .

If 3 cot theta=4 , then find the value of (5 sin theta+3 cos theta)/(5 sin theta-3 cos theta).

CHHAYA PUBLICATION-TRIGONOMETRIC RATIOS [OR FUNCTIONS] OF POSITIVE ACUTE ANGLES-EXERCISE 2
  1. If theta is a positive acute angle and cos theta=(15)/(17) , find th...

    Text Solution

    |

  2. If A and B are positive acute angles and sinA =3/5,cosB=(15)/(17) , fi...

    Text Solution

    |

  3. If tantheta =a/b, find the value of (bcostheta-asintheta)/(b cos theta...

    Text Solution

    |

  4. If cos theta +sec theta=sqrt(3), show that, cos^3theta+sec^3theta=0 .

    Text Solution

    |

  5. Express 1+4cosec^2alphacot^2alpha in the form of a perfect square.

    Text Solution

    |

  6. If 3cos alpha-4sinalpha=5, show that, 3sinalpha+4cosalpha=0 .

    Text Solution

    |

  7. If sinalpha=x and tan alpha=y, prove that, 1/x^2-1/y^2=1.

    Text Solution

    |

  8. If tan alpha+cotalpha=2, show that, tan^7alpha+cot^7alpha=2.

    Text Solution

    |

  9. If an=sin^n theta+cosec^ntheta and a1=2 prove that, an=2 .

    Text Solution

    |

  10. If cosalpha+secalpha=2, show that cos^3alpha+sec^3alpha=2.

    Text Solution

    |

  11. If x=rcos thetacosphi,y=rcosthetasinphi and z=r sin theta, show that ,...

    Text Solution

    |

  12. If x=asec thetacosphi,y=bsec thetasin phi and z=ctantheta, show that, ...

    Text Solution

    |

  13. If x=cosec theta -sin theta and y=sec theta-cos theta, then show that ...

    Text Solution

    |

  14. Prove the following identities: (sec theta-tan theta+1)/(sec theta+t...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |