Home
Class 11
MATHS
The number of real values of theta lying...

The number of real values of `theta` lying in the interval `(-pi/2, pi/2)` and satisfying the equation `(sqrt3)^(sec^2theta)=tan^4theta+2tan^2theta` is

A

1

B

2

C

3

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|21 Videos
  • TRIGONOMETRIC FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|68 Videos

Similar Questions

Explore conceptually related problems

The number of values of theta in the interval (-pi/2,pi/2) satisfying the equation (sqrt(3))^(sec^2theta)=tan^4theta+2tan^2theta is 2 (b) 4 (c) 0 (d) 1

Find the values of theta in the interval (-pi/2,pi/2) satisfying the equation, (1-tantheta) (1+tantheta) sec^2theta + 2^(tan^2theta) =0

tan3theta + tantheta = 2tan 2theta

The number of values of theta in the interval -pile theta le pi satisfying the equation cos theta + sin 2 theta =0 is-

tan 3theta = tan 2theta + tantheta

The value of theta lying between theta=0 and theta=pi/2 and satisfying the equation |1+sin^2theta cos^2theta4sin4thetasin^2theta1+cos^2theta4sin4thetasin^2thetacos^2theta1+4sin4theta|=0a r e (7pi)/(24) (b) (5pi)/(24) (c) (11pi)/(24) (d) pi/(24)

sec^(3)theta - 2tan^(2)theta =2

The number of values of theta in the interval (-pi/2, pi/2) such that theta ne (npi)/5 for n ne 0,+-1, +-2 and tantheta=cot5theta as well as sin2theta=cos4theta is

General solution of theta satisfying the equation tan^2theta+sec2theta=1 is

Prove that (sec8theta-1)/(sec4theta-1)=(tan8theta)/(tan2theta)

PATHFINDER-TRIGONOMETRIC EQUATION AND INVERSE-QUESTION BANK
  1. The number of solutions of the equation sin^3xcosx+sin^2xcos^2x+sinxco...

    Text Solution

    |

  2. Number of values of x in R which satisfy the equation cos(pisqrt(x-4)...

    Text Solution

    |

  3. The number of real values of theta lying in the interval (-pi/2, pi/2)...

    Text Solution

    |

  4. If (tan^-1x)^2+(cot^-1x)^2=(5pi^2)/8, then x equals

    Text Solution

    |

  5. The value of x for which sin(cot^-1(1+x))=cos(tan^-1x) is

    Text Solution

    |

  6. The sum of the infinite series cot^-1 2+cot^-1 8+cot^-1 18+cot^-1 32+....

    Text Solution

    |

  7. If sin^-1sqrt((x^2+2x+1))+sec^-1sqrt((x^2+2x+1))=pi/2, x ne 0, then th...

    Text Solution

    |

  8. The number of real solutions of the equation 2sin^-1sqrt((x^2-x+1))+co...

    Text Solution

    |

  9. The most general solution of the equation tan^-1(1/2secx)+cot^-1(2cosx...

    Text Solution

    |

  10. The greatest of tan1, tan^-1 1, sin^-1 1, sin1, cos1, is

    Text Solution

    |

  11. If 0 lt x lt 1, then sqrt(1+x^2)[{xcos(cos^-1x)+sin(cot^-1x)}^2-1]^(1/...

    Text Solution

    |

  12. The range of values of a for which the equation sin^2x-sqrt3 sinx cosx...

    Text Solution

    |

  13. The number of points inside or on the circle x^2+y^2=4 satisfying tan^...

    Text Solution

    |

  14. The least difference between the roots in the first quadrant in [0, pi...

    Text Solution

    |

  15. The general solution of the equation sinx-3sin2x+sin3x=cosx-3cos2x+cos...

    Text Solution

    |

  16. General solution of theta satisfying the equation tan^2theta+sec2theta...

    Text Solution

    |

  17. The solution of the inequality log(1//2)sinx gt log(1//2)cosx in [0, 2...

    Text Solution

    |

  18. If [cot^-1x]+[cos^-1x]=0, where x is a non-negative real number and [ ...

    Text Solution

    |

  19. The set of values of x satisfying abs(sin^-1x) lt abs(cos^-1x), is

    Text Solution

    |

  20. The number of real solutions of tan(5picosalpha)=cot(5pisinalpha), alp...

    Text Solution

    |