SOLUTION: 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(π/11) = 5 − squareroot 3
find a and b. (Decimal
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Trigonometry-basics
-> SOLUTION: 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(π/11) = 5 − squareroot 3
find a and b. (Decimal
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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(π/11) = 5 − squareroot 3
find a and b. (Decimal points in answers will be marked incorrect.) Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! 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(π/11) = 5 − squareroot 3
find a and b. (Decimal points in answers will be marked incorrect.)
***
f(0)=5=a+tan(b*0)
a=5
..
for:[0,2π)
f(π/11)=5+tan(bπ/11)=5-√3
tan(bπ/11)=-√3
bπ/11=2π/3 and 5π/3 (in quadrants II and IV where tan<0)
b/11=2/3
b=22/3
and
b/11=5/3
b=55/3
(