Home
Class 10
MATHS
If 2 sin ((pi)/(2)) = x^2 + (1)/(x^2) = ...

If `2 sin ((pi)/(2)) = x^2 + (1)/(x^2)` = , then the value of `(x - (1)/(x))` is___

A

-1

B

2

C

1

D

0

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Theorems related to Tangent to a Circle

    UNITED BOOK HOUSE|Exercise Exercise |29 Videos

  • Trigonometric Ratios of Complementry Angle

    UNITED BOOK HOUSE|Exercise Exercise |30 Videos

Similar Questions

Explore conceptually related problems

For real x,the least value of (x-2)(x-3)+1 is___

If "sin"^(-1)(5)/(x)+"sin"^(-1)(12)/(x)=(pi)/(2) , then the value of x is -

Let f(x) ={{:((1-sin x)/(pi-2x)",","when" x ne (pi)/(2)),(lamda ",","when" x-(pi)/(2)):} If lim _(x to (pi)/(2))f(x)=f ((pi)/(2)), then the value of lamda is-

If f(x)=int(3x^2+1)/((x^2-1)^3)dx and f(0)=0, then the value of |2/(f(2))| is___

If cos^-1(x/2)+sin^-1(x/4)=pi/6 , then the value of x is

If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/(2) , then then the value of (x+y+z) is -

If cos^(-1)((6x)/(1+9x^2))=-pi/2+2tan^(-1)3x , then find the value of x

If 0lt x lt (pi)/(2) and 1+ sin x+ sin ^(2) +sin ^(3) x+…oo= 4+2 sqrt3, then the value of x is-

If f(x)={(((1-sin^3x))/(3cos^2x), x lt pi/2), (a, x=pi/2), ((b(1-sinx))/((pi-2x)^2), x gt pi/2):} is continuous at x=pi/2 , then the value of (b/a)^(1/3) is

If (2 tan^2 30^@)/(1 - tan^2 30^@) + sec^2 45^@ - sec^2 0^@ = x sec 60^@ , then the value of x is___

UNITED BOOK HOUSE-Trigonometric Rations and Trigonometric Identities-Exercise
  1. If costheta + sectheta = 2, then the value of cos^2017 theta + sec^201...

    Text Solution

    |

  2. If tan ((Pi)/(2) - (theta)/(2)) = sqrt3, the value of cos theta is

    Text Solution

    |

  3. If 2 sin ((pi)/(2)) = x^2 + (1)/(x^2) = , then the value of (x - (1)/(...

    Text Solution

    |

  4. If A=sin^2theta+cos^4theta then for all real values of theta

    Text Solution

    |

  5. If cos 0 = x^2 - x + 5/4, the value of x will be

    Text Solution

    |

  6. In triangleABC, angleB = 90^@ and AB : BC = 2 : 1. The value of sin A ...

    Text Solution

    |

  7. If cos theta + sin theta = sqrt2 cos theta, then cos theta - sin theta...

    Text Solution

    |

  8. If cos^4 theta - sin^4 theta = 2/3, then the value of (1 - 2 sin^2 the...

    Text Solution

    |

  9. If (cosalpha)/(cosbeta) = a and (sinalpha)/(sinbeta) = b, then the val...

    Text Solution

    |

  10. If theta is an acute angle and tan theta + cot theta = 2, then the val...

    Text Solution

    |

  11. If (2 tan^2 30^@)/(1 - tan^2 30^@) + sec^2 45^@ - sec^2 0^@ = x sec 60...

    Text Solution

    |

  12. Which one of the following is true for 0^@ < theta < 90^@?

    Text Solution

    |

  13. If cos^2 alpha - sin^2 alpha = tan^2 beta, then the value of (cos^2 be...

    Text Solution

    |

  14. For any values of sqrt frac(sec theta - 1)(sec theta + 1) = ?

    Text Solution

    |

  15. If 0^@ < A < 90^@, then the value of tan^2 A + cot^2 A - sec^2 A cosec...

    Text Solution

    |

  16. The vlaue of (2sin^3 theta - sin theta)/(costheta - 2 cos^3 theta) is ...

    Text Solution

    |

  17. If r sin theta =7/2 and r costheta = (7sqrt3)/(2) then value of r is

    Text Solution

    |

  18. If theta + emptyset = (Pi)/(2) and sin theta = 1/2 then the value of s...

    Text Solution

    |

  19. If a cos theta + b sin theta = p and asin theta - bcos theta = q, then...

    Text Solution

    |

  20. If theta = 60^@, then 1/2 sqrt1 + sin theta + 1/2 sqrt1 -sin theta is ...

    Text Solution

    |