SOLUTION: Tan(PI/4+2arcCot(3))

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Question 1074975: Tan(PI/4+2arcCot(3))
Answer by ikleyn(52908) About Me  (Show Source):
You can put this solution on YOUR website!
.
tan%28pi%2F4+%2Barccot%283%29%29 = tan%28alpha+%2B+beta%29,

where alpha = pi%2F4 and beta = arccot%283%29.

Next, apply the formula

tan%28alpha%2Bbeta%29 = %28tan%28alpha%29%2Btan%28beta%29%29%2F%281-tan%28alpha%29%2Atan%28beta%29%29.


Take into account that  

tan%28alpha%29 = tan%28pi%2F4%29 = 1  and 

tan%28beta%29 = tan%28arccot%283%29%29 = 1%2F3.


With these hints please complete calculations on your own.


See the lessons
    - Calculating trigonometric functions of angles
    - Advanced problems on calculating trigonometric functions of angles
in this site.

Also, you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Trigonometry: Solved problems".
in this site.