+0

# Find a and b.....

0
47
2

a and b are whole positive integers, which makes the following identity true. What are the values of a and b? Thanks.

Pi/4 =8arctan(1/10) - arctan(a/b)

Guest Dec 26, 2017

#1
+1

Pi/4 =8arctan(1/10) - arctan(a/b)

0.7853981634...... =0.79734921992... - arctan(a/b)

arctan(a/b) =0.79734921992  -  0.7853981634......

arctan(a/b) =0.0119510565318..........

Using "continued fraction" method:

a = 1,758,718

b=147,153,121

Guest Dec 26, 2017
Sort:

#1
+1

Pi/4 =8arctan(1/10) - arctan(a/b)

0.7853981634...... =0.79734921992... - arctan(a/b)

arctan(a/b) =0.79734921992  -  0.7853981634......

arctan(a/b) =0.0119510565318..........

Using "continued fraction" method:

a = 1,758,718

b=147,153,121

Guest Dec 26, 2017
#2
0

The Guest made a copying error:

a =1,758,719.

Guest Dec 26, 2017

### 12 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details