Home
Class 12
MATHS
If tan theta=a/b ,then which of the foll...

If `tan theta=a/b` ,then which of the following is the value of `(asin theta+bcostheta)/(asintheta-bcostheta)?`

A

`(a^2+b^2)/(a^2-b^2)`

B

`a/sqrt(a^2-b^2)`

C

`b/(a^2-b^2)`

D

`sqrt(a^2+b^2)`

Text Solution

Verified by Experts

The correct Answer is:
A
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 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 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=(a)/(b) , then find the value of (sin theta)/(cos^(8)theta)+(cos theta)/(sin^(8)theta) .

Find the simplest value of sin theta x tan theta + cos theta

If tan theta = 15/8 and cos theta is negative, find the value of (sin (-theta) - cos theta)/(tan(-theta) + "sec"(-theta)) .

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

If cos theta =tan theta, then which one of the following is correct ?

Find the greatest and least value of asintheta+bcostheta

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

CHHAYA PUBLICATION-TRIGONOMETRIC RATIOS [OR FUNCTIONS] OF POSITIVE ACUTE ANGLES-EXERCISE 2
  1. If sin alpha =4/5 where alpha is a positive acute angle then cos alpha...

    Text Solution

    |

  2. If x=sin^2alpha+cosec^2alpha , state which of the following is true?

    Text Solution

    |

  3. If tan theta=a/b ,then which of the following is the value of (asin th...

    Text Solution

    |

  4. If 0^@le A le90^@ and sin A =cosA , state which of the following is t...

    Text Solution

    |

  5. State which of the following relation is true?

    Text Solution

    |

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

    Text Solution

    |

  7. Prove the following identities: sinalpha cosalpha(tanalpha-cotalpha...

    Text Solution

    |

  8. Prove the following identities: sqrt((1+sintheta)/(1-sin theta))=sec...

    Text Solution

    |

  9. Prove the following identities: sqrt((cosectheta-1)/(cosec+1))=(1-si...

    Text Solution

    |

  10. Prove the following identities: (cosphi)/(1+sinphi)+(1+sinphi)/(cos ...

    Text Solution

    |

  11. Prove the following identities: (cosec theta-sintheta)^2+(sectheta-c...

    Text Solution

    |

  12. Prove the following identities: (cottheta+cosectheta)^2=(1+costheta)...

    Text Solution

    |

  13. Prove the following identities: (1+sintheta)/(1-sintheta)=(sectheta+...

    Text Solution

    |

  14. Prove the following identities: (sinalpha+cosecalpha)^2+(cosalpha+se...

    Text Solution

    |

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

    Text Solution

    |

  16. prove: ((sin0^@+sin60^@)(cos60^@+cot45^@))/((cot60^@+tan30^@)(cosec30^...

    Text Solution

    |

  17. prove: cos^2 ""60^@,cos^2 ""45^@,cos^2 ""30^@ are in A.P

    Text Solution

    |

  18. prove: tan(pi/3),tan(pi/4),tan(pi/6) are in G.P

    Text Solution

    |

  19. prove: 2cos^2(pi/3)+3/4sec^2(pi/4)+4sin^2(pi/6)=cot^2(pi/6)

    Text Solution

    |

  20. The angle A of the triangle ABC is obtuse, if sec(B+C)=cosec (B-C)=2,...

    Text Solution

    |