SOLUTION: I am having a problem with this question...please don't just give me the answer, I would really like to know how to do it. Thanks
f(theta)=3tan(theta)+sin2(theta), find f(pi/6)
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Question 262433: I am having a problem with this question...please don't just give me the answer, I would really like to know how to do it. Thanks
f(theta)=3tan(theta)+sin2(theta), find f(pi/6)
Found 2 solutions by drk, jim_thompson5910:
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
here is our equation
find f(pi/6)
---
step 1 - replace theta with pi/6 and we get
step 2 - find the values of
3tan(pi/6) and sin^2(pi/6) as
= 3*(sqrt(3)/3) =
= (1/2)^2 =
--
So, we get
which becomes
----
If however you meant the original problem as:
then we have
step 1 - replace theta with pi/6 and we get
step 2 - find the values of
3tan(pi/6) and sin(2(pi/6)) as
= 3*(sqrt(3)/3) =
= =
--
So, we get
which becomes
or
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Hint: Plug in 
and use the unit circle to determine that =\frac{1}{2})
and =\frac{\sqrt{3}}{3})
. Let me know if this helps you get started.
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