Home
Class 12
MATHS
Find the value of expression: sin(2tan^(...

Find the value of expression: `sin(2tan^(-1)1/3)+cos(tan^(-1)2sqrt(2))`

A

`14/15`

B

`3/4`

C

`(2sqrt2)/7`

D

`(2sqrt2)/15`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - B)(OBJECTIVE TYPE QUESTIONS (ONE OPTION IS CORRECT))|36 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - C)(OBJECTIVE TYPE QUESTIONS (MORE THAN ONE OPTIONS ARE CORRECT))|13 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise TRY YOURSELF|21 Videos

  • INTEGRALS

    AAKASH INSTITUTE|Exercise Try yourself|50 Videos

  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE|Exercise Section - j|3 Videos

Similar Questions

Explore conceptually related problems

Find the value of : sin^() (2 tan^(-1). 1/4) +cos (tan^(-1)2sqrt(2))

Find the value of the expression sin[cot^(-1){cos(tan^(1)1)}]

Find the value of (2tan^(-1)((1)/(sqrt(3)))+cos(tan^(-1)(2sqrt(2)))

The value of sin (2 tan ^(-1) "" (1)/(3)) + cos (tan ^(-1) 2 sqrt2) is (p)/(q), then pq is

Find the value of sin[tan tan^(-1)(-sqrt(3))+cos^(-1)((sqrt(3))/(-2))]

Find the value of sec^(-1)(-2)+tan^(-1)(-1/sqrt3)

Find the value of : tan^(-1) ((-1)/(sqrt(3)))+cos^(-1)((-sqrt(3))/2)+sin^(-1)(1/2)

AAKASH INSTITUTE-INVERSE TRIGONOMETRIC FUNCTIONS-ASSIGNMENT (SECTION - A)(OBJECTIVE TYPE QUESTIONS (ONE OPTION IS CORRECT))
  1. 1/2tan^(- 1)(12/5) is equal to

    Text Solution

    |

  2. Value of sec^(-1)(sec.(4pi)/3) is

    Text Solution

    |

  3. Find the value of expression: sin(2tan^(-1)1/3)+cos(tan^(-1)2sqrt(2))

    Text Solution

    |

  4. Find : tan^(-1)(1/2)+tan^(-1)(1/5)+tan^(-1)(1/8)= ?

    Text Solution

    |

  5. cos^(-1)(-x),absx le 1, is equal to

    Text Solution

    |

  6. cosec^(-1)(-x),x in R-(-1,1), is equal to

    Text Solution

    |

  7. cot^(-1)(-2) is equal to

    Text Solution

    |

  8. If "sin"{cot^(-1)(x+1)}="cos"(tan^(-1)x), then find xdot

    Text Solution

    |

  9. If sin^(-1)(x-x^2/2+x^3/4…..oo)+cos^(-1)(x^2-x^4/2+x^6/4-……oo)=pi/2 th...

    Text Solution

    |

  10. if tan^(-1)(1/x)+cos^(-1)(2/sqrt5)=pi/4 then x equals

    Text Solution

    |

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

    Text Solution

    |

  12. If x1=cos^(-1)(3/5)+cos^(-1)((2sqrt2)/3)and x2=sin^(-1)(3/5)+sin^(-1)(...

    Text Solution

    |

  13. If tan(sin^(-1)sqrt(1-x^2))=sin(tan^(-1)2) then x is

    Text Solution

    |

  14. If 0 le x le 1 then cos^(-1)(2x^(2)-1) equals

    Text Solution

    |

  15. Express in terms of : sin^(-1)(2xsqrt(1-x^(2))) to sin^(-1)x for 1gexg...

    Text Solution

    |

  16. sin^(-1) (5/x) +sin^(-1) (12/x) =pi/2

    Text Solution

    |

  17. tan^(-1)((sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))),absxx le...

    Text Solution

    |

  18. If cos^(-1)(x/m)+cos^(-1)(y/n)=theta, then x^2/m^2-(2xy)/(mn)costheta+...

    Text Solution

    |

  19. tan^(-1)(1/2)+tan^(-1)(1/3) is equal to

    Text Solution

    |

  20. cos(tan^(-1)3/4)+cos(tan^(-1)x) is equal to

    Text Solution

    |