Question 963358
A function f(x) is of the form
f(x) = a + tan(bx)
where a and b are constants and
0 < b < 11
If
f(0) = 5
and 
f(&#960;/11) = 5 &#8722; squareroot 3
find a and b. (Decimal points in answers will be marked incorrect.)
***
f(0)=5=a+tan(b*0)
a=5
..
for:[0,2&#960;)
f(&#960;/11)=5+tan(b&#960;/11)=5-&#8730;3
tan(b&#960;/11)=-&#8730;3
b&#960;/11=2&#960;/3 and 5&#960;/3 (in quadrants II and IV where tan<0)
b/11=2/3
b=22/3
and 
b/11=5/3
b=55/3