Home
Class 12
MATHS
theta = tan ^(-1)(2 tan ^(2) theta )-...

`theta = tan ^(-1)(2 tan ^(2) theta )- tan ^(-1) ((1)/(3) tan theta )` if -

A

`tan theta =-2`

B

` tan theta =0`

C

` tan theta=1`

D

`tan theta = 2`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC INVERSE CIRCULAR FUNCTIONS

    CHHAYA PUBLICATION|Exercise Long answer type questions|28 Videos
  • TRANSFORMATIONS OF SUMS AND PRODUCTS

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos
  • TRIGONOMETRIC RATIOS OF ASSOCIATED ANGLES

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMS - ASSERTION-REASON TYPE|2 Videos

Similar Questions

Explore conceptually related problems

Find, theta =tan^(-1) (2 tan^(2) theta) - tan^(-1) ((1)/(3) tan theta) " then " tan theta=

theta=tan^-1(2tan^2theta)-tan^-1{(1/3)tantheta} , if

(1 + tan^(2) theta)/(1 - tan^(2) theta)=

If theta=tan^(-1)(2 tan^(2) theta)-(1)/(2) sin^(-1)((3 sin 2 theta)/(5+4 cos 2theta)) , then find the general values of theta .

tan3theta + tantheta = 2tan 2theta

tan ( 2 tan ^(-1)sqrt((1+cos theta)/(1-cos theta)))+ tan theta =0

Show that (1)/(3) lt (sec^(2) theta - tan theta)/( sec^(2) theta+ tan theta) lt3 .

tan 3theta = tan 2theta + tantheta

Prove that (sin theta -cos theta+1 )/( sin theta + cos theta -1) =(1)/( sec theta -tan theta ) [use the identity sec ^(2) theta =1 +tan ^(2) theta ]

The value of cosec ^(2) theta cot ^(2) theta - sec ^(2) theta tan ^(2) theta -(cot ^(2) theta- tan ^(2) theta) (sec ^(2) theta cosec ^(2) theta -1) is-

CHHAYA PUBLICATION-TRIGONOMETRIC INVERSE CIRCULAR FUNCTIONS-sample questions for competive examination
  1. The values of x satisfying sin ^(-1) x+ sin ^(-1) (1-x) = cos^(-...

    Text Solution

    |

  2. sin^(-1)x gt cos^(-1)x golds for -

    Text Solution

    |

  3. If "cosec" ^(-1) x = sin ^(-1) ((1)/(x)) then x may be -

    Text Solution

    |

  4. 2 cot ^(-1) 7+ cos ^(-1) ((3)/(5)) is equal to -

    Text Solution

    |

  5. theta = tan ^(-1)(2 tan ^(2) theta )- tan ^(-1) ((1)/(3) tan theta...

    Text Solution

    |

  6. tan {2tan ^(-1)""((1)/(5))-(pi)/(4)} is equal to -(k )/(17) then f...

    Text Solution

    |

  7. IF sin ^(-1) x sin ^(-1) y =(2pi )/(3) then cos ^(-1) y =(pi)/(l...

    Text Solution

    |

  8. If cos^(-1)x + cos^(-1)y + cos^(-1)z = 3pi, then xy + yz +zx is equal ...

    Text Solution

    |

  9. The value of tan ^(-1) (1) + cos ^(-1) (-(1)/(2) ) + sin ^(-1) (-...

    Text Solution

    |

  10. The value of tan {(cos^(-1)(-(2)/(7))-(pi)/(2))}is (2)/(3sqrt(m)), f...

    Text Solution

    |

  11. Find prinicipal values for inverse circular functions cos ^(-1) ...

    Text Solution

    |

  12. Find prinicipal values for inverse circular functions sin^(-1)(sin...

    Text Solution

    |

  13. Find prinicipal values for inverse circular functions tan ^(-1) ...

    Text Solution

    |

  14. Find prinicipal values for inverse circular functions tan ^(-1) ...

    Text Solution

    |

  15. Find prinicipal values for inverse circular functions cos^(-1)(cos...

    Text Solution

    |

  16. Cos^(-1) ( 4x ^(3) - 3x ) =a + b cos ^(-1)x is a equation of trig...

    Text Solution

    |

  17. Cos^(-1) ( 4x ^(3) - 3x ) =a + b cos ^(-1)x is a equation of trig...

    Text Solution

    |

  18. Cos^(-1) ( 4x ^(3) - 3x ) =a + b cos ^(-1)x is a equation of trig...

    Text Solution

    |

  19. Find the general value of sin^-1(sqrt3/2)

    Text Solution

    |

  20. Statement -I : tan ^(-1)""((3)/(4))+tan ^(-1) ""((1)/(7))= (pi)/(4) s...

    Text Solution

    |