Given that g ; x \(\to\) 3x and f ; x \(\to\) cos x. Find the value of g\(^o\) f(20\(^o\))
Answer Details
The function g of x is defined as g(x) = 3x, and the function f of x is defined as f(x) = cos(x). To find the value of g(f(20°)), we need to first evaluate f(20°) and then plug that result into g.
So, first let's evaluate f(20°):
f(20°) = cos(20°) = cos(20 x (π/180)) = cos(π/9)
Next, we plug the result into g:
g(f(20°)) = g(cos(π/9)) = 3cos(π/9) = 2.82
Therefore, the value of g(f(20°)) is 2.82.