Home
Class 10
MATHS
If sec theta+tan theta = x, prove that s...

If `sec theta+tan theta = x`, prove that `sin theta= (x^2-1)/(x^2+1)`

Promotional Banner

Topper's Solved these Questions

  • HATI HIGH SCHOOL

    UNITED BOOK HOUSE|Exercise EXERCISE|55 Videos

  • HOOGHLY COLLIGIATE SCHOOL

    UNITED BOOK HOUSE|Exercise EXERCISE|55 Videos

Similar Questions

Explore conceptually related problems

If k tan theta=tan k theta , then prove that (sin^(2)k theta)/(sin^(2)theta)=(k^(2))/((k^(2)-1)sin^(2)theta+1).

If tan 2theta . Tan 3 theta =1 , then sin5theta =

If x=a sin theta and y=b tan theta , then prove that (a^(2))/(x^(2))-(b^(2))/(y^(2))=1 .

If 7sin ^2theta +3cos^2theta =4 , prove that, tan theta =pm1/sqrt(3) .

If sin theta+ sin^2 theta = 1 , prove that cos^2 theta+ cos^4 theta = 1 .

If 2x = sec theta and 2/x = tan theta , then 2(x^2 - (1)/(x^2)) =

If tan^4theta+tan^2theta=1 , prove that, cos^4 theta+cos^2theta=1

UNITED BOOK HOUSE-HINDU SCHOOL -EXERCISE
  1. If a alpha b and b alpha c then show that a^3b^3+b^3c^3+c^3a^3 alpha a...

    Text Solution

    |

  2. What should be added to each of a,b,c,d to make the sums proportional?

    Text Solution

    |

  3. If (x^2-yz)/a=(y^2-zx)/b=(z^2-xy)/c , show that (a+b+c)(x+y+z)=(ax+by...

    Text Solution

    |

  4. Answer any One queation : Prove that, if a perpendicular is draw on t...

    Text Solution

    |

  5. Prove that opposite angles of a cyclic quadrilateral are supplementary

    Text Solution

    |

  6. The radius of a circle is 8 cm. Calculate the length of a tangent draw...

    Text Solution

    |

  7. Two tangents AB and AC drawn from an external point A of a circle touc...

    Text Solution

    |

  8. Draw a triangle whose two side are 7.6 cm and 6 cm in length and the a...

    Text Solution

    |

  9. Geometrically find the value of sqrt(29).

    Text Solution

    |

  10. Find the values of (2 tan^2 30^@)/(1-tan^2 30^@)+sec^2 45^@-cot^2 45^@...

    Text Solution

    |

  11. If alpha+beta = 90^@, prove that sec^2 alpha+sec^2 beta = sec^2 alpha ...

    Text Solution

    |

  12. If sec theta+tan theta = x, prove that sin theta= (x^2-1)/(x^2+1)

    Text Solution

    |

  13. A man standing on a railway bridge 5sqrt3 meters high, observes the en...

    Text Solution

    |

  14. Two towers are situated at a distance of 120sqrt2 metre and the height...

    Text Solution

    |

  15. The length of the radius of cross section of a solid right circular ro...

    Text Solution

    |

  16. Length of radius and height of a right circular draw are 21 cm and 21 ...

    Text Solution

    |

  17. The length of two sides adjacent to right angle of a right angled tria...

    Text Solution

    |

  18. Calculate the mean of obtained marks of 64 students from the given dat...

    Text Solution

    |

  19. Find the median of the following data.

    Text Solution

    |

  20. Calculate the mode of the following data.

    Text Solution

    |