Home
Class 12
MATHS
If x=secphi -tanphi and y="cosec" phi+c...

If `x=secphi -tanphi and y="cosec" phi+cotphi`, then show that `xy+x-y+1=0.`

A

`x=(y+1)/(y-1)`

B

`x=(y-1)/(y+1)`

C

`y=(1+x)/(1-x)`

D

`xy+x-y+1=0`

Text Solution

Verified by Experts

The correct Answer is:
B, C, D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|13 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|52 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos
  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|9 Videos

Similar Questions

Explore conceptually related problems

If x=sint,y=sinKt then show that (1-x^(2))y_2-xy_(1)+K^(2)y=0 .

If y= [Log(x+sqrt(x^2+1))]^2 then show that (x^2+1)y_2+xy_1=0

If lim_(x to 0)kx cosec x= lim_(x to 0) x cosec kx , show that k = +-1 .

If y = e^(m tan^-1 x) , then show that (1 +x^2) y_2 + (2x - m) y_1= 0 .

If y = (cos^-1 x)^2 show that (1-x^2)^2 y_2 -xy_1 = 2

If (x,y) is any point on the line joining (a,0) and (0,b), show that x/a+y/b=1

If tan^-1 x + tan^-1y = pi/4, xy < 1, then write the value of x +y + xy.

If y = 3 cos (log x) + 4 sin (log x) show that x^2 y_2 + xy_1 + y = 0

ARIHANT MATHS-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (More Than One Correct Option Type Questions)
  1. Let f(n)(theta)= 2 sin . (theta)/(2) sin. (3theta)/(2) + 2 sin.(theta)...

    Text Solution

    |

  2. Let P=sin 25^(@) sin 35^(@)sin 60^(@) sin 85^(@) and Q=sin20^(@)sin40...

    Text Solution

    |

  3. For 0ltphilt(pi)/(2)" if " x=sum(n=0)^(oo)cos^(2n) phi,y=sum(n=0)^(oo)...

    Text Solution

    |

  4. Let P(x)=cot^(2)x ((1+tanx+tan^(2)x)/(1+cot x+ cot^(2)x))+((cos x-cos ...

    Text Solution

    |

  5. It is known that sinbeta=4/5 and 0 < beta < pi then the value of (sqrt...

    Text Solution

    |

  6. In cyclic quadrilateral ABCD, if cot A=3/4 and tan B= (-12)/(5), then ...

    Text Solution

    |

  7. If the equation 2cos^(2)x+cosx-a=0 has solutions, then a can be

    Text Solution

    |

  8. If A=sin 44^(@)+cos44^(@), B=sin45^(@)+ cos45^(@) and C= sin46^(@)+cos...

    Text Solution

    |

  9. If tan(2alpha+beta)=x & tan(alpha+2beta)=y, then [ tan3(alpha+beta)]. ...

    Text Solution

    |

  10. If x=secphi -tanphi and y="cosec" phi+cotphi, then show that xy+x-y+1...

    Text Solution

    |

  11. If tan(x/2)=cosec x-sin x, then find the value of tan^(2) (x/2).

    Text Solution

    |

  12. If y=(sqrt(1-sin4A)+1)/(sqrt(1+sin 4A)-1), then y can be

    Text Solution

    |

  13. If 3sinbeta=sin(2alpha+beta) then

    Text Solution

    |

  14. Let P(n)(u) be a polynomial is u of degree n. Then, for every positive...

    Text Solution

    |

  15. If tan theta=(sin alpha- cos alpha)/(sin alpha+cos alpha), then:

    Text Solution

    |

  16. If cos 5 theta = a cos^(5)theta + b cos^(3)theta+c cos theta. Then, fi...

    Text Solution

    |

  17. x=sqrt(a^(2)cos^(2)alpha+b^(2)sin^(2)alpha)+sqrt(alpha^(2)sin^(2)alpha...

    Text Solution

    |

  18. Find the value of ((cosA+cosB)/(sinA-sinB))^(n)+((sinA+sinB)/(cosA-cos...

    Text Solution

    |

  19. Let p(k)=(1+cos((pi)/(4k)))(1+cos'((2k-1)pi)/(4k)) (1+cos""((2k+1)pi...

    Text Solution

    |

  20. if x = a cos^3 theta sin^2 theta and y = a cos^2 theta sin^3 theta an...

    Text Solution

    |