Home
Class 12
MATHS
Prove that:tan^(-1)(1/5)+tan^(-1)(1/7)+t...

Prove that:`tan^(-1)(1/5)+tan^(-1)(1/7)+tan^(-1)(1/3)+tan^(-1)(1/8)=pi/4`

Text Solution

AI Generated Solution

To prove that \[ \tan^{-1}\left(\frac{1}{5}\right) + \tan^{-1}\left(\frac{1}{7}\right) + \tan^{-1}\left(\frac{1}{3}\right) + \tan^{-1}\left(\frac{1}{8}\right) = \frac{\pi}{4}, \] we will use the formula for the sum of inverse tangents: ...
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    NCERT ENGLISH|Exercise Exercise 2.1|14 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    NCERT ENGLISH|Exercise Solved Examples|13 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    NCERT ENGLISH|Exercise Solved Examples|13 Videos

  • INTEGRALS

    NCERT ENGLISH|Exercise EXERCISE 7.4|25 Videos

  • LINEAR PROGRAMMING

    NCERT ENGLISH|Exercise EXERCISE 12.2|11 Videos

Similar Questions

Explore conceptually related problems

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

Prove that tan^(-1)(1/70)-tan^(-1)(1/99)=tan^(-1)(1/239)

Prove that : tan^(-1)(1/2) + tan^(-1)(1/3) = tan^(-1)(3/5) + tan^(-1)(1/4) = pi/4

Prove that: tan^(-1)(2/11)+tan^(-1)(7/24)=tan^(-1)(1/2)

Prove that: tan^(-1)(2/11)+tan^(-1)(7/24) = tan^(-1)(1/2)

Prove that: tan^(-1)(1/7)+tan^(-1)(1/(13))=tan^(-1)(2/9) tan^(-1)(1/2)+tan^(-1)(1/5)+tan^(-1)(1/8)=pi/4 tan^(-1)(3/4)+tan^(-1)(3/5)-tan^(-1)(8/19)=pi/4

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

Prove that : tan^(-1)(2/11)+tan^(-1)(7/24)=tan^(-1)(1/2)

Show that tan^(-1) (1/2) +tan^(-1) (1/8) = tan^(-1) (3/4) - tan^(-1)(1/18)

Solve the following equation for x : tan^(-1)(1/4)+2tan^(-1)(1/5)+tan^(-1)(1/6)+tan^(-1)(1/x)=pi/4