if f(x)=3tanx +2
find when f(x)= pie/3
3tanx +2 = pi/3
3tan x = -.9528
tanx = -.3176
now, the tangent is negative in quadrants II and IV
so x = pi - .3075 or x = 2pi - .3075
x = 2.834 or x = 5.9757
check one of them
if x=5.9757
LS = 3tan5.9757 + 2
= 1.04728
RS = pi/3 = 1.0472 , NOT BAD
To evaluate the function f(x) = 3tanx + 2, you need to follow these steps:
1. Simplify the expression: Write the equation in a simplified form by using trigonometric identities. Since tanx is the tangent function, you can simplify it using the identity tanx = sinx/cosx.
f(x) = 3(tanx) + 2
= 3(sinx/cosx) + 2
2. Multiply through by the common denominator: In this case, the common denominator is cosx.
f(x) = (3sinx/cosx) + 2
3. Combine the terms: Add the two terms together.
f(x) = (3sinx + 2cosx)/cosx
Now, you have the simplified form of the function f(x).