Home
Class 10
MATHS
If x=(1+sintheta)/(costheta), prove that...

If `x=(1+sintheta)/(costheta)`, prove that : `sintheta=(x^(2)-1)/(x^(2)+1)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO TRIGONOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 8 D|6 Videos

  • INTRODUCTION TO TRIGONOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 8 E|16 Videos

  • INTRODUCTION TO TRIGONOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 8 B|22 Videos

  • CONSTRUCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 11 B|10 Videos

  • LINEAR EQUATIONS IN TWO VARIABLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|8 Videos

Similar Questions

Explore conceptually related problems

If sintheta+costheta=x , Prove that : sin^6theta+cos^6theta=(4-3(x^2-1)^2)/4

If x=a(theta+sintheta),y=a(1+costheta), Prove that (d^2y)/(dx^2)=-a/(y^2)

If sintheta+costheta=1 , then the value of sin2theta is

If sintheta + 2 costheta=1 ,then prove that 2sintheta-costheta=2 .

If x=a(theta+sintheta) , y=a(1+costheta) , prove that (d^2y)/(dx^2)=-a/(y^2) .

If x/a costheta+y/b sintheta=1 and x/a sintheta-y/bcostheta=1 Prove that : (x^2)/(a^2)+(y^2)/(b^2)=2

If x=a(1+costheta) , y=a(theta+sintheta) , prove that (d^2y)/(dx^2)=(-1)/a at theta=pi/2 .

If x=(2sintheta)/(1+costheta+sintheta) , then prove that (1-costheta+sintheta)/(1+sintheta) is equal to x .

If x=a(1-costheta) , y=a(theta+sintheta) , prove that (d^2y)/(dx^2)=-1/a at theta=pi/2 .

If sintheta+costheta=x , then show that: sin^(6)theta+cos^(6)theta=1-3/4(x^(2)-1)^(2)

NAGEEN PRAKASHAN ENGLISH-INTRODUCTION TO TRIGONOMETRY-Exercise 8 C
  1. (sinA+cosecA)^2+(cosA+secA)^2=7+tan^2A+cot^2A

    Text Solution

    |

  2. Prove that : (1-tanA)^(2)+(1-cotA)^(2)=(secA-"cosec"A)^(2)

    Text Solution

    |

  3. Prove that : (secA-tanA)/(secA+tanA)=1-2secAtanA+2tan^(2)A

    Text Solution

    |

  4. Prove that : sqrt((1+cosA)/(1-cosA))+sqrt((1-cosA)/(1+cosA))=2" cose...

    Text Solution

    |

  5. If (1-sinA)(1-sinB)(1-sinC)=(1+sinA)(1+sinB)(1+sinC), then show that ...

    Text Solution

    |

  6. If tan^2 theta= 1-e^2 prove that sec theta + tan^3 theta cosec theta=...

    Text Solution

    |

  7. Prove that (sintheta-costheta+1)/(sintheta+costheta-1)=1/(sectheta-tan...

    Text Solution

    |

  8. If (cosalpha)/(sinbeta)=n and (cosalpha)/(cosbeta)=m, then find cos^(2...

    Text Solution

    |

  9. If sectheta=x+(1)/(4x),prove that sectheta+tantheta=2xor(1)/(2x)*

    Text Solution

    |

  10. If x=asecthetacosphi ,y=secthetasinphiandz=ctantheta,show that(x^(2))/...

    Text Solution

    |

  11. Prove: (1+tan^2A)+(1+1/(tan^2A))=1/(sin^2A-sin^4A)

    Text Solution

    |

  12. Prove that : (sintheta-2sin^(3)theta)/(2cos^(3)theta-costheta)-tanth...

    Text Solution

    |

  13. Eliminate alpha from x=asinalpha+bcosalphaandy=acosalpha-bsinalpha.

    Text Solution

    |

  14. If 7("cosec "theta-1)=3cottheta,then prove that : 3("cosec " theta+1)=...

    Text Solution

    |

  15. If x=(1+sintheta)/(costheta), prove that : sintheta=(x^(2)-1)/(x^(2)+...

    Text Solution

    |

  16. If x=cotA+cosA,y=cotA,prove that : ((x-y)/(x+y))^(2)+((x-y)/(2))^(2)=1

    Text Solution

    |

  17. If (cosA)/(cosB)=p,(sinA)/(sinB)=q,then show that (p^(2)(1-q^(2)))/(p^...

    Text Solution

    |

  18. If cotalpha+tanalpha=mand(1)/(cosalpha)-cosalpha=n, then show that m(...

    Text Solution

    |

  19. If acos^3theta+3acosthetasin^2theta=m and asin^3theta+3acos^2thetasin...

    Text Solution

    |

  20. If x=(2sintheta)/(1+costheta+sintheta),t h e n(1-costheta+sintheta)/(1...

    Text Solution

    |