Question

If f(x) = sinx and g(x) = cosx, find the value of (f+g)(pi/3)

Answer 1

To find the value of (f+g)(pi/3), calculate the sine and cosine of pi/3 and add the results together. The final value of (f+g)(pi/3) is (√3 + 1)/2, the sum of sine and cosine at pi/3.

Step-by-step explanation:

To find the value of (f+g)(pi/3), where f(x) = sin(x) and g(x) = cos(x), we simply evaluate each function at x = pi/3 and add the results:

• f(pi/3) = sin(pi/3) = √3/2
• g(pi/3) = cos(pi/3) = 1/2

Adding these values together, we have:

(f+g)(pi/3) = f(pi/3) + g(pi/3) = (√3/2) + (1/2) = (√3 + 1)/2

This results in (f+g)(pi/3) = (√3 + 1)/2, which is the sum of the sine and cosine of pi/3.