Home
Class 10
MATHS
If 2x=secA and (2)/(x)=tanA, " prove tha...

If `2x=secA and (2)/(x)=tanA, " prove that " (x^(2)-(1)/(x^(2)))=(1)/(4).`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC IDENTITIES

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|53 Videos

  • TRIANGLES

    RS AGGARWAL|Exercise Test Yourself|20 Videos

  • TRIGONOMETRIC RATIOS

    RS AGGARWAL|Exercise Exercise 10|35 Videos

Similar Questions

Explore conceptually related problems

Choose the correct answer in each of the following questions: If 2x=sec A and (2)/(x)=tanA" then " 2(x^(2)-(1)/(x^(2)))=?

If x+(1)/(x)=a then prove that x^(6)+(1)/(x^(6)) =a^(6)-6a^(4) +9a^(2)-2 .

y=sin^(-1)((2x)/(1+x^(2))), prove that (1+x^(2))(dy)/(dx)=2

For x>0 Prove that x-(x^(2))/(2)

if sec A=x+(1)/(4x) then prove that sec A+tan A=2x,(1)/(2x)

If y= 2^((1)/(log_(x)4)) then prove that x=y^(2) .

Prove that (2^(x-1)+2^(x))/(2^(x+1)-2^(x))=(3)/(2)

If y=sin(tan^(-1)2x), prove that (dy)/(dx)=(2)/((1+4x^(2))^((3)/(2)))

If y=(cot^(-1)x)^(2), prove that y_(2)(x^(2)+1)^(2)+2x(x^(2)+1)y_(1)=2

If y=(cot^(-1)x)^(2), prove that y_(2)(x^(2)+1)^(2)+2x(x^(2)+1)y_(1)=2

RS AGGARWAL-TRIGONOMETRIC IDENTITIES-Test Yourself
  1. (cos^(2)56^(@)+cos^(2)34^(@))/(sin^(@)56^(@)+sin^(2)34^(@))+3tan^(2)56...

    Text Solution

    |

  2. (sin^2 30^@ cos^2 45^@+4 tan^2 30^@+1/2 sin^2 90^@+1/8 cot^2 60^@)=?

    Text Solution

    |

  3. If cosA+cos^(2)A=1, then sin^(2)A+sin^(4)A=?.

    Text Solution

    |

  4. If sin theta=(sqrt(3))/(2)" then " ("cosec"theta+cot theta)=?

    Text Solution

    |

  5. If cotA=(4)/(5), then ((sinA+cosA))/((sinA-cosA))=?

    Text Solution

    |

  6. If 2x=secA and (2)/(x)=tanA, " prove that " (x^(2)-(1)/(x^(2)))=(1)/(4...

    Text Solution

    |

  7. If sqrt(3) tantheta=3sintheta, " prove that " (sin^(2)theta-cos^(2)the...

    Text Solution

    |

  8. Prove that ((sin^(2)73^(@)+sin^(2)17^(@)))/((cos^(2)28^(@)+cos^(2)62^(...

    Text Solution

    |

  9. If 2sin2 theta=sqrt(3) ,then the value of theta is :

    Text Solution

    |

  10. Prove that sqrt((1+cosA)/(1-cosA))=("cosec"A+cotA).

    Text Solution

    |

  11. If cosec theta + cot theta= p, cos theta = ?

    Text Solution

    |

  12. Prove that ("cosec"A-cotA)^(2)=((1-cosA))/((1+cosA)).

    Text Solution

    |

  13. If 5cottheta=3. find the value of (5sintheta-3costheta)/(4sintheta+3co...

    Text Solution

    |

  14. Prove that (sin32^(@)cos58^(@)+cos32^(@)sin58^(@))=1.

    Text Solution

    |

  15. If x=a sin theta+b cos theta and y=a cos theta -b sin theta, " prove t...

    Text Solution

    |

  16. ((1+sintheta))/((1-sintheta))=?

    Text Solution

    |

  17. Prove that (1)/((sec theta - tan theta))-(1)/(cos theta)=(1)/(cos th...

    Text Solution

    |

  18. ((sinA-2sin^(3)A))/((2cos^(3)A-cosA)) = ?

    Text Solution

    |

  19. Prove that (tanA)/((1-cotA))+(cotA)/((1-tanA))=(1+tanA+cotA).

    Text Solution

    |

  20. If sec5A="cosec"(A-36^(@)) and 5A " is an acute angle, show that " A=2...

    Text Solution

    |