Home
Class 10
MATHS
If 5x=sectheta and 5/x=tantheta , find t...

If `5x=sectheta` and `5/x=tantheta` , find the value of `5(x^2-1/(x^2))` .

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(5)`
Squaring and subtracting, we get
`25(x^(2)-(1)/(x^(2)))=(sec^(2)theta-tan^(2)theta)=1rArr5(x^(2)-(1)/(x^(2)))=(1)/(5).`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC IDENTITIES

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

  • TRIGONOMETRIC IDENTITIES

    RS AGGARWAL|Exercise Test Yourself|20 Videos

  • TRIGONOMETRIC IDENTITIES

    RS AGGARWAL|Exercise Exercise 13B|15 Videos

  • TRIANGLES

    RS AGGARWAL|Exercise Test Yourself|20 Videos

  • TRIGONOMETRIC RATIOS

    RS AGGARWAL|Exercise Exercise 10|35 Videos

Similar Questions

Explore conceptually related problems

If 5x=sec theta and (5)/(x)=tan theta, find the value of 5(x^(2)-(1)/(x^(2)))

If 6x=sectheta and (6)/(x)=tantheta , find the value of 9(x^(2)-(1)/(x^(2))) .

Find the value of x : -1/5 = 2/x

If x=-3 find the value of 4x^2-5x+3

Find the value of 5x^2-3x+7 at x=0

If 2x+5=10 then find the value of x

if sectheta +tantheta =5 then find the value of tantheta

Find the value of x^2-x(x-5) when x=-2

Find the value of x: 5x+2x+1 = 3x+4

If sectheta+tantheta=5 , then find sintheta=?

RS AGGARWAL-TRIGONOMETRIC IDENTITIES-Exercise 13C
  1. If 3 cot theta =4, " write the value of " ((2costheta+ sintheta ))...

    Text Solution

    |

  2. If cottheta=1/(sqrt(3)) , show that (1-cos^2theta)/(2-sin^2theta)=3...

    Text Solution

    |

  3. If tan theta =(1)/(sqrt(5)), " write the value of " (("cosec"^(2)th...

    Text Solution

    |

  4. If cot A =(4)/(3) and (A+B)=90^(@), what is the value of tan B?

    Text Solution

    |

  5. If A+B=90o and cosB=3/5 , what is the value of sinA ?

    Text Solution

    |

  6. If sqrt(3) sin theta = cos theta and theta" is an acute angle, find ...

    Text Solution

    |

  7. The value of tan 10^(@)* tan20^(@)*tan45^(@)*tan70^(@)*tan80^(@)=

    Text Solution

    |

  8. The value of tan1^@ tan 2^@ tan 3^@ ... tan 89^@ is

    Text Solution

    |

  9. Write the value of cos 1^(@) cos 2^(@) … cos 180^(@).

    Text Solution

    |

  10. If tan A=5/12, find the value of (sin A+cos A) sec A

    Text Solution

    |

  11. If sin theta = cos (theta - 45^(@)), " where " theta " is acute, fin...

    Text Solution

    |

  12. Find the value of (sin 50^(@))/(cos40^(@))+("cosec"40^(@))/(sec 50...

    Text Solution

    |

  13. Find the value of sin 48^(@) sec 42^(@)+cos48^(@) "cosec"42^(@).

    Text Solution

    |

  14. If x=a sin theta and y = b cos theta , " write the value of " (b^(2)x...

    Text Solution

    |

  15. If 5x=sectheta and 5/x=tantheta , find the value of 5(x^2-1/(x^2)) ...

    Text Solution

    |

  16. If cos e c\ theta=2x and cottheta=2/x , find the value of 2(x^2-1/(...

    Text Solution

    |

  17. If sec theta + tan theta =x, " find the value of " sec theta.

    Text Solution

    |

  18. Choose the correct answer in each of the following questions: (cos38...

    Text Solution

    |

  19. If sin theta =x, " write the value of " cot theta.

    Text Solution

    |

  20. If sec theta =x, " write the value of " tan theta.

    Text Solution

    |