Home
Class 11
MATHS
Tan^(-1)(m/n)-Tan^(-1)((m-n)/(m+n))=...

`Tan^(-1)(m/n)-Tan^(-1)((m-n)/(m+n))=`

A

`pi/2`

B

`pi/3`

C

`pi/4`

D

`(3pi)/4`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-II) (LEVEL - II MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|2 Videos
  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-II) (LEVEL - II MATRIX MATCHING TYPE QUSTIONS)|1 Videos
  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I) (LEVEL - I INTEGER TYPE QUESTIONS)|2 Videos
  • HYPERBOLIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE SHEET EXERCISE-II (STRAIGHT OBJECTIVE TYPE QUESTIONS)|18 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos

Similar Questions

Explore conceptually related problems

If "Tan"^(-1)1/(1+2)+"Tan"^(-1)1/(1+(2)(3))+"Tan"^(-1)1/(1+(3)(4))+..."Tan"^(-1)1/(1+n(n+1))=Tan^(-1)theta , then theta =

"tan"^(-1)1/3+"tan"^(-1)1/7+……+tan^(-1)(1/(n^(2)+n+1))=

If (a_1+ib_1)(a_2+ib_2)......(a_n+ib_n)=A+iB, "then "Tan^(-1)(b_1/a_1)+Tan^(-1)(b_2/a_2)+.....+Tan^-1(b_n/a_n)=

sum_(m=1)^(oo)Tan^(-1) ((2m)/(m^(4)+m^(2)+2))=

If a_(1),a_(2),a_(3),....,a_(n) is an A.P. with common difference d, then tan[Tan^(-1)(d/(1+a_(1)a_(2)))+Tan^(-1)(d/(1+a_(2)a_(3)))+...Tan^(-1)(d/(1+a_(n-1)a_(n)))=

If S= tan^(-1) ((1)/(n^(2) +n+1)) + tan^(-1) ((1)/(n^(2) + 2n+ 3))+ ….+ tan^(-1) ((1)/(1+(n+19) (n+20))) , then tan (s) is equal to

Tan^(-1) ((1)/( 1+1+1^2) ) + Tan^(-1) ((1)/( 1+2+2^2) ) + ….. + Tan^(-1) ((1)/( 1+ n+n^2) )=

If a_(1),a_(2),a_(3),...a_(n) are in A.P. with common difference d, then tan[tan^(-1)((d)/(1+a_(1)a_(2)))+tan^(-1)((d)/(1+a_(2)a_(3)))+,....+tan^(-1)((d)/(1+a_(n-1)a_(n)))]=

If (a_(1) + ib_(1)) (a_(2) + ib_(2)) … (a_(n) + ib_(n)) = A + iB then Tan^(-1) ((b_(1))/(a_(1))) + Tan^(-1) ((b_(2))/(a_(2))) + …. + Tan^(-1) ((b_(n))/(a_(n))) =