Home
Class 12
MATHS
If x=a sec^(3)theta tan theta, y=b tan^(...

If `x=a sec^(3)theta tan theta, y=b tan^(3) theta sec theta`, then `sin^(2)theta` is equal to

A

`(x)/(a)-(y)/(b)`

B

`(x)/(a)+(y)/(b)`

C

`(xy)/(ab)`

D

`(ay)/(bx)`

Text Solution

Verified by Experts

The correct Answer is:
d
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (LEVEL 2 Single Correct Answer Type Questions)|30 Videos
  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Numerical Answer Type Questions)|32 Videos
  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Concept-based Single Correct Answer Type Questions ) |20 Videos
  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|25 Videos
  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|20 Videos

Similar Questions

Explore conceptually related problems

x =a tan theta ,y =b sec theta

If sec theta + tan theta =x then sin theta is equal to

sec^(6)theta=tan^(6)theta+3tan^(2)theta sec^(2)theta+1

sec^(6)theta=tan^(6)theta+3tan^(2)theta sec^(2)theta+1

If tan theta+sec theta=3/2 then sin theta=

If sec theta+tan theta=x, obtain the values of sec theta,tan theta and sin theta

sec^(6)theta-tan^(6)theta-3tan^(2)theta.sec^(2)theta=?

if x = a sec theta + b tan theta y = b sec theta + a tan theta then x^(2) - y^(2) is equal to

If a sec theta+b tan theta=c then (a tan theta+b sec theta)^(2)=

MCGROW HILL PUBLICATION-TRIGONOMETRICAL IDENTITIES AND EQUATIONS -EXERCISE (LEVEL 1 Single Correct Answer Type Questions)
  1. sin^(2)A+sin^(2)(A-B)+2sinAcosB sin(B-A) is equal to

    Text Solution

    |

  2. If (3sin 2 theta)/(5+4cos2theta)=1, then the value of tan theta is equ...

    Text Solution

    |

  3. If x=a sec^(3)theta tan theta, y=b tan^(3) theta sec theta, then sin^(...

    Text Solution

    |

  4. cot theta-cot 3 theta is equal to

    Text Solution

    |

  5. If 0 lt x, y lt 2pi, the number of solutions of the system of equation...

    Text Solution

    |

  6. If A and B be acute positive angles satisfying 3sin^(2)A+2sin^(2)B=1, ...

    Text Solution

    |

  7. If tan alpha, tan beta, tan gamma are the roots of the equation x^(3)-...

    Text Solution

    |

  8. If A, B, C are the angles of a triangle such that angle A is obtuse ...

    Text Solution

    |

  9. If tan(theta//2)="cosec" theta-sin theta, then cos^(2)(theta//2) is eq...

    Text Solution

    |

  10. If a sin^(2)theta +b cos^(2)theta= a cos^(2)phi+b sin^(2)phi=1 and a t...

    Text Solution

    |

  11. The equation tan^(2)x+cot^(2)x=4a"cosec"^(2)2x has a real solution if

    Text Solution

    |

  12. For n in I, the line x=n pi+pi//2 does not intersect the graph of

    Text Solution

    |

  13. If (tanx)/(2)=(tany)/(3)=(tanz)/(5) and x+y+z=pi, then the value of ...

    Text Solution

    |

  14. If the angle A, B, C of a triangle are in A.P. such that sin(2A+B)=1//...

    Text Solution

    |

  15. If tan theta+tan phi=a, cot theta+cot phi=b, theta-phi=alpha (pi 0) th...

    Text Solution

    |

  16. If (x)/(y)=(cosA)/(coB) then (x tan A+y tanB)/(x+y)=

    Text Solution

    |

  17. If x=a(cos theta+theta sin theta), y=a(sin theta-theta cos theta) the...

    Text Solution

    |

  18. (1+cos (pi//8))(1+cos(3pi//8))(1+cos(5pi//8)) (1+cos(7pi//8))=

    Text Solution

    |

  19. If 2 cos x +2cos 3x=cosy, 2 sinx+2sin3x=siny then the vlaue of cos 2x ...

    Text Solution

    |

  20. (cosA)/(3)=(cosB)/(4)=(1)/(5), -(pi)/(2) lt A lt 0, 0 lt B lt (pi)/(2)...

    Text Solution

    |