Home
Class 12
MATHS
Find all values of theta in the interva ...

Find all values of theta in the interva `(-pi/2,pi/2)` satisfying the equation `(1-tantheta)(1+tantheta)sec^2theta+2tn^2theta=0`

A

`pi//4`

B

`-pi//4`

C

`pi//3`

D

`-pi//3`

Text Solution

Verified by Experts

The correct Answer is:
C, D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRICAL EQUATIONS

    ML KHANNA|Exercise PROBLEM SET (3) (TRUE AND FALSE )|1 Videos
  • TRIGONOMETRICAL EQUATIONS

    ML KHANNA|Exercise PROBLEM SET (3) (FILL IN THE BLANKS )|2 Videos
  • TRIGONOMETRICAL EQUATIONS

    ML KHANNA|Exercise PROBLEM SET (2) (FILL IN THE BLANKS )|8 Videos
  • THEORY OF QUADRATIC EQUATIONS

    ML KHANNA|Exercise Self Assessment Test|27 Videos
  • TRIGONOMETRY RATIOS AND IDENTITIES

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (FILL IN THE BLANKS)|6 Videos

Similar Questions

Explore conceptually related problems

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

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

sec^2theta/tantheta=?

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

Find all the values of theta in (-(pi)/(2),(pi)/(2)) which satisfy the equation (1-tan theta)(1+sin2 theta)=(1+tan theta) is

The possible value of theta in [-pi, pi] satisfying the equation 2(costheta + cos 2theta)+ (1+2costheta)sin 2theta = 2sintheta are

tantheta+tan2theta=tanthetatan2theta=1

Find all value of theta, between 0& pi, which satisfy the equation; cos theta*cos2 theta*cos3 theta=(1)/(4)

The value of theta lying between 0 and pi/2 and satisfying the equation |(1+cos^2theta, sin^2theta, 4sin4theta),(cos^2theta, 1+sin^2theta, 4sin4theta),(cos^2theta, sin^2theta, 1+4sin4theta)|=0 is (are) (A) (7pi)/24 (B) (3pi)/8 (C) (11pi)/24 (D) (7pi)/12

Prove that : (tantheta+2)(2tantheta+1)=5tantheta+2sec^(2)theta

ML KHANNA-TRIGONOMETRICAL EQUATIONS -PROBLEM SET (3) (MULTIPLE CHOICE QUESTIONS)
  1. The value of theta lying between theta = 0 and theta = pi/2 and satis...

    Text Solution

    |

  2. The number of all triplets (a1,a2,a3) such that a1 + a2 cos 2x + a3 si...

    Text Solution

    |

  3. The number of all possible 5-tuples (a(1),a(2),a(3),a(4),a(5)) such th...

    Text Solution

    |

  4. The equation (cos p-1) x^(2) + cos p*x + sin p = 0 where x is a varia...

    Text Solution

    |

  5. If A,B,C the angles of a triangle be in A.P. and satisfy the relations...

    Text Solution

    |

  6. The number of solution(s) of 2cos^(2)(x/2)sin^(2)x=x^(2)+1/x^(2), 0 le...

    Text Solution

    |

  7. The solution of the equation e^(sinx) -e^(-sinx)-4 = 0 is :

    Text Solution

    |

  8. One value of theta which satisfies the equation sin^(4)theta-2sin^(2)t...

    Text Solution

    |

  9. The number of solutions of the equation sin^3x cos x + sin^2 x cos^2x ...

    Text Solution

    |

  10. The number of solutionsof the equation 1 +sin x sin^2 ""(x)/2 = 0 i...

    Text Solution

    |

  11. If 0le x le pi and 81^(sin^2 x) + 81^(cos^2x) = 30, then x is equal to

    Text Solution

    |

  12. If 3^(sin2x + 2cos^2x) + 3^(1-sin2x + 2sin^2x) = 28 , then the values ...

    Text Solution

    |

  13. Solve 2^(cos 2x)+1=3.2^(-sin^(2) x)

    Text Solution

    |

  14. The equation sin^(4) x + cos^(4) x + sin 2x + k = 0 must have real s...

    Text Solution

    |

  15. The equation sin^4 x - 2cos^2 x + a^2 = 0 is solveble if

    Text Solution

    |

  16. Solve: log(cosx) sin x + log(sin x) cos x = 2.

    Text Solution

    |

  17. If log(cosx)tan x + log(sinx) cot x = 0, then the most general value o...

    Text Solution

    |

  18. If abs(cos x)^(sin^2 x - 3/2 sin x + 1/2) = 1, then possible values ...

    Text Solution

    |

  19. Find all values of theta in the interva (-pi/2,pi/2) satisfying the eq...

    Text Solution

    |

  20. The value of x between 0 and2pi which satisfy the equation sinx.sqrt(8...

    Text Solution

    |