Home
Class 12
MATHS
Find the simplest form of tan^-1(cosx/(1...

Find the simplest form of `tan^-1(cosx/(1-sinx))`.

Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    BODY BOOKS PUBLICATION|Exercise EXERCISE|122 Videos

  • LINEAR PROGRAMMING

    BODY BOOKS PUBLICATION|Exercise EXERCISE|2 Videos

Similar Questions

Explore conceptually related problems

Write the following functions in the simplest form : tan^(-1) (x/sqrt(a^2-x^2)), |x| lt a

Write the following functions in the simplest form : tan^(-1)((sqrt(1+x^2)-1)/x), x ne 0

Write the following functions in the simplest form : tan^(-1) sqrt((1-cos x)/(1+cos x)), 0 lt x lt pi

Write the following functions in the simplest form : tan^(-1)(1/sqrt(x^2 -1)), |x| gt 1

Write the simplest form of sin^-1[xsqrt(1-x)-sqrtx.sqrt(1-x^2)]

Find dy/dx , if y=tan^-1((cosx-sinx)/(cosx+sinx))

Find the derivative of (x^5-cosx)/(sinx) using the quotient rule.

Find dy/dx of the following y=tan^(-1)sqrt((1-cosx)/(1+cosx))

Find dy/dx of y=tan^-1(sqrt((1-cosx)/(1+cosx)))

Show that tan^-1(frac(cosx)(1-sinx))=pi/4+x/2

BODY BOOKS PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE
  1. Solve tan^-1 2x+tan^-1 3x=pi/4

    Text Solution

    |

  2. If A=sin^-1frac(2x)(1+x^2) , B=cos^-1frac(1-x^2)(1+x^2) , C=tan^-1frac...

    Text Solution

    |

  3. Prove that tan^-1 (1/2)+tan^-1(2/11)=tan^-1(3/4)

    Text Solution

    |

  4. Principal value of cot^-1(-1/(sqrt3)) is a)pi/3 b)-pi/3 c)pi/6 d)2pi/3

    Text Solution

    |

  5. If tan^(-1) ((x-1)/(x-2)) + tan^(-1) ((x+1)/(x+2)) = pi/4. then find t...

    Text Solution

    |

  6. If xy<1,tan^-1x+tan^-1y=........ a)tan^-1(frac(x-y)(1+xy)) b)tan^-1(f...

    Text Solution

    |

  7. Prove that 2 tan^(-1)(1/2) + tan^(-1)(1/7) = tan^(-1)(31/17)

    Text Solution

    |

  8. What is the value of sin^-1(sin160^@)?

    Text Solution

    |

  9. Prove that 2 tan^(-1)(1/2) + tan^(-1)(1/7) = tan^(-1)(31/17)

    Text Solution

    |

  10. The principal value of cos^-1(-frac(1)(2))

    Text Solution

    |

  11. Write the following functions in the simplest form : tan^(-1)((cos x...

    Text Solution

    |

  12. Write the principal value of sin^-1(frac(1)(2))

    Text Solution

    |

  13. show that sin^-1frac(3)(5)-sin^-1frac(8)(17)=cos^-1frac(84)(85)

    Text Solution

    |

  14. If sin (sin ^(-1) (1/5) + cos ^(-1) x )=1, then the value of x is :...

    Text Solution

    |

  15. Find the simplest form of tan^-1(cosx/(1-sinx)).

    Text Solution

    |

  16. Find cos^-1(1/2)+2sin^-1(1/2)

    Text Solution

    |

  17. tan ^(-1) sqrt3-cot ^(-1)(-sqrt3) is equal to A)pi B)(-pi)/2 C)0 D)2 s...

    Text Solution

    |

  18. Prove that cos^-1(4/5)+cos^-1(12/13)=cos^-1(33/65).

    Text Solution

    |

  19. tan^(-1)(x/y)-tan^(-1)((x-y)/(x+y))=

    Text Solution

    |

  20. sin^(-1)(1-x)-2sin^(-1)x= pi/2,then find x

    Text Solution

    |