Home
Class 11
MATHS
If x=secphi-tanphi and y=cosecphi+cotphi...

If `x=secphi-tanphi` and `y=cosecphi+cotphi`, then

A

xy+1=x-y

B

xy+1=y-x

C

xy+1=x+y

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|68 Videos
  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    PATHFINDER|Exercise QUESTIONBANK|25 Videos

Similar Questions

Explore conceptually related problems

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

If (sectheta+tantheta)(secphi+tanphi)(secPsi+tanPsi)=tanthetatanphitanPsi," then prove that " (sectheta-tantheta)(secphi-tanphi)(secPsi-tanPsi)=cottheta.cotphi.cotPsi

if cos theta , sin phi , sin theta are in g.p then check the nature of roots of x^2+2cotphi.x + 1=0

If tan (theta/2)=tan^3 (phi/2) and tanphi=2tanalpha ,then prove that theta+phi=2alpha

If x/y alphax+y and y/x alpha x-y , then show that x^2-y^2 = constant.

If x ,y in R and x^2+y^2+x y=1, then find the minimum value of x^3y+x y^3+4.

If x+y alpha x-y then

If (acosthetasecphi-x)/(asin(theta+phi))=(y-bsinthetasecphi)/(bcos(theta+phi))=tanphi show that x^2/a^2+y^2/b^2=1

If acosphi=b costheta ,show that a tantheta+b tanphi=(a+b)tan((theta+phi)/2)

PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
  1. The number of points of intersection of 2y=1 and y=sinx, -2pilexle2pi

    Text Solution

    |

  2. If sinalpha, sinbeta and cosalpha are in G.P. then roots of the equati...

    Text Solution

    |

  3. If x=secphi-tanphi and y=cosecphi+cotphi, then

    Text Solution

    |

  4. For any triangle ABC, ((a+b+c)(b+c-a)(c+a-b)(a+b-c))/(4b^2c^2)is equa...

    Text Solution

    |

  5. Which one is correct?

    Text Solution

    |

  6. In a DeltaABC, if cotAcotBcotCgt0, then the Delta is

    Text Solution

    |

  7. cos(pi/14) + cos ((3pi)/14) + cos((5pi)/14)=

    Text Solution

    |

  8. If (2sinalpha)/(1+cosalpha+sinalpha)=x, then (1-cosalpha+sinalpha)/(1+...

    Text Solution

    |

  9. If secalpha and cosecalpha are two roots of x^2-px+q=0 then

    Text Solution

    |

  10. If costheta + sectheta = (-2) then cos^ntheta + sec^ntheta= (If n is e...

    Text Solution

    |

  11. Given A=sin^2theta +cos^4theta. Then for all real values of theta, whi...

    Text Solution

    |

  12. The minimum value of cos(cosx) is

    Text Solution

    |

  13. If S=cos^2(pi/n) + cos^2((2pi)/n) +....+ cos^2((n-1)pi)/n, then S equa...

    Text Solution

    |

  14. If cos5theta = acostheta +bcos^2theta + c.cos^5theta =d, then

    Text Solution

    |

  15. prove that In an acute angled triangle ABC, secA+ secB+secCge6 is

    Text Solution

    |

  16. If Tn=sin^ntheta+ cos^ntheta, then (T6-T4)/T6=m holds for value of m s...

    Text Solution

    |

  17. Value of the expression 2sinx-cos2x is

    Text Solution

    |

  18. The range of function tan(pi/4sin^2x) must be

    Text Solution

    |

  19. The inequation 4sin3x+5ge4cos2x+5sinx

    Text Solution

    |

  20. If 7cosx-24sinx=dcos(x+alpha), oltalphaltpi/2, be true for all x in R,...

    Text Solution

    |