Home
Class 10
MATHS
If theta be a positive acute angle and t...

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).`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND TRIGONOMETRIC IDENTITIES

    CALCUTTA BOOK HOUSE|Exercise EXERCISE|66 Videos

  • THEOREMS RELATED TO TANGENT IN A CIRCLE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE 4.2|23 Videos

  • TRIGONOMETRIC RATIOS OF COMPLEMENTARY ANGLES

    CALCUTTA BOOK HOUSE|Exercise EXERCISE|28 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

If theta is a positive acute angle and tan theta=3/4, find sin theta and sec theta

If 2 sin theta cos theta = 1 , then find the value of sin theta-cos theta .

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) .

CALCUTTA BOOK HOUSE-TRIGONOMETRIC RATIOS AND TRIGONOMETRIC IDENTITIES -EXERCISE
  1. Prove that (sin A+sinB)/(cosB-cosA)=(cos A+cosB)/(sinA-sinB).

    Text Solution

    |

  2. Prove that (sec theta-tan theta+1)/(sec theta+tan theta+1)=(1-sin the...

    Text Solution

    |

  3. Prove that (1)/("cosec"alpha-cot alpha)-(1)/(sin alpha)=(1)/(sin alpha...

    Text Solution

    |

  4. If "cosec" theta- sin theta=m^(3) and sec theta-cos theta=n^(3), then ...

    Text Solution

    |

  5. eliminate theta : a(1) sec theta + b(1)tan theta+c(1)=0 , a(2)sec thet...

    Text Solution

    |

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

    Text Solution

    |

  7. If a^(2)sec^(2)alpha-b^(2)tan^(2)alpha=c^(2), then prove that sinalpha...

    Text Solution

    |

  8. If tan theta=k, then show that sec theta+tan^(3)theta "cosec"theta=(1...

    Text Solution

    |

  9. If tan^(2)theta=1-e^(2), then prove that sectheta+tan^(3)theta"cosec...

    Text Solution

    |

  10. If " cosec"theta-sin theta=m and sec theta-cos theta=n, then prove tha...

    Text Solution

    |

  11. If a sin x=b cosx=(2c tan x)/(1-tan^(2)x), then prove that (a^(2)-b^(...

    Text Solution

    |

  12. If (sin alpha-cosalpha)/(sin alpha+cosalpha)=tan theta, then prove tha...

    Text Solution

    |

  13. If (cos^(4)alpha)/(cos^(2)beta)+(sin^(4)alpha)/(sin^(2)beta)=1, then ...

    Text Solution

    |

  14. If u(n)=sin^(n)alpha+cos^(n)alpha, then prove that 2u(6)-3u(4)+1=0.

    Text Solution

    |

  15. If theta be a positive acute angle and tan theta=(a)/(b), then find th...

    Text Solution

    |

  16. If tanA+sinA=m and tanA-sinA=n, then prove that m^(2)-n^(2)=4sqrt(mn)...

    Text Solution

    |

  17. If k tan theta=tan k theta, then prove that (sin^(2)k theta)/(sin^(2)...

    Text Solution

    |

  18. If c cos^(3)theta+3c cos theta sin^(2)theta=m and c sin^(3)theta+3c c...

    Text Solution

    |

  19. If x=r cos theta cos phi, y=r cos theta sin phi, z=r sin theta, then p...

    Text Solution

    |

  20. If x=a sec theta cosphi, y = b sec theta sin phi and z=c tan theta, th...

    Text Solution

    |