Home
Class 12
MATHS
If tan alpha = (q)/(p) and alpha lt 90^...

If ` tan alpha = (q)/(p) and alpha lt 90^(@) ," then " (q sin alpha - p cos alpha )/( q sin alpha + p cos alpha ) = `

A

`(q^(2)-p^(2))/(p^(2)+ q^(2))`

B

`(q^(2)+p^(2))/(p^(2)- q^(2))`

C

`(p^(2)-q^(2))/(p^(2)+q^(2))`

D

none

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 B ( COMPOUNDS ANGLES )|106 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 C ( MULTIPLE AND SUBMULTIPLE ANGLES )|118 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPEICAL TYPE QUESTIONS ) SET -4|20 Videos

  • TRIGONOMETRIC EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

(sqrt(2)-sin alpha - cos alpha)/(sin alpha - cos alpha) is equal to

sin 2 alpha - cos 2 alpha tan alpha =

If (sin alpha )/(a) = ( cos alpha )/(b) , then a sin 2alpha + b cos 2 alpha =

If sin alpha+ cos alpha= m then sin^(6)( alpha)+ cos^(6) (alpha)=

|(sin alpha, cos alpha),(cos alpha, -sin alpha)|=

(sin 5 alpha-sin3alpha)/(cos 5 alpha+2 cos 4 alpha+cos 3alpha)=

sin^(2) alpha * tan alpha + cos^(2) alpha * cot alpha + 2 sin alpha cos alpha =

I : If (cos alpha )/(a)=(sin alpha )/(b) then a cos 2 alpha + b cos 2 alpha =a II : If (sin alpha )/(a) =(cos alpha )/(b) then a sin 2 alpha + b cos 2 alpha = a

(( cos alpha - cos 3 alpha ) ( sin 8 alpha + sin 2 alpha ))/( ( sin 5 alpha - sin alpha ) ( cos 4 alpha - cos 6 alpha ))=

( sin alpha sin 3alpha + sin 3alpha sin 7 alpha + sin 5 alpha sin 15 alpha )/( sin alpha cos 3 alpha + sin 3alpha cos 7 alpha + sin 5 alpha cos 15 alpha ) =

DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 A ( TRIGONOMETRIC FUNCTIONS)
  1. If sin theta = -(7)/(25) and theta is not in the fourth quadrant , t...

    Text Solution

    |

  2. If tan theta =(1)/(sqrt(7)) and theta is an acute angle , then ("cos...

    Text Solution

    |

  3. If tan alpha = (q)/(p) and alpha lt 90^(@) ," then " (q sin alpha - p...

    Text Solution

    |

  4. If theta lies in the first quadrant and 5 tan theta = 4 , " then "...

    Text Solution

    |

  5. If cot theta = (b)/a " then " ( a sin theta - b cos theta )/( a sin t...

    Text Solution

    |

  6. If sec alpha = (13)/(5) " where " alpha lt 90^(@) , then the value ...

    Text Solution

    |

  7. If cot theta = sqrt(7) and theta does not lie the first quadrant , t...

    Text Solution

    |

  8. If cos theta =(3)/5 and theta is not in the first quadrant , then (...

    Text Solution

    |

  9. If tan theta = -(5)/(12) and theta is not in the fourth quadrant th...

    Text Solution

    |

  10. If 90^(@) lt A lt 180^(@) , 180^(@) lt B lt 270^(@) and cos A=-(sqrt(3...

    Text Solution

    |

  11. If 180^(@) lt A lt 270^(@) , 270^@ lt B lt 360^(@) and sin A = -5//13...

    Text Solution

    |

  12. If 13 sin A = 12 , pi//2 lt A lt pi and 3 sec B=5 , 3pi/2 lt B lt 2p...

    Text Solution

    |

  13. 3[sin^(4)(3pi//2-alpha)+sin^(4)(3pi+alpha)]-2[sin^(6)(pi//2+alpha)+sin...

    Text Solution

    |

  14. If sin (alpha+beta ) =1 , sin (alpha-beta ) =1//2 " then " tan (alpha...

    Text Solution

    |

  15. ( sin theta + " cosec " theta )^(2) + ( cos theta + sec theta )^(2)=

    Text Solution

    |

  16. (cos theta + sin theta )^(2) + (cos theta - sin theta )^(2) =

    Text Solution

    |

  17. ( tan alpha + " cosec " beta )^(2) - ( cot beta - sec alpha )^(2) =

    Text Solution

    |

  18. (sec alpha * sec beta + tan alpha tan beta )^(2)-( sec alpha * tan be...

    Text Solution

    |

  19. (sec A + tan A -1) (sec A - tan A+1)=

    Text Solution

    |

  20. ("cosec " theta - sin theta ) ( sec theta - cos theta ) ( tan theta + ...

    Text Solution

    |