Question

Найдите f(pi/2) если f(x)=x cosx\1+sinX

Answer 1

Решение задания смотри на фотографии

Answer 2

To find the value of f(pi/2) for the given function f(x) = x * cos(x) / (1 + sin(x)), we simply need to substitute x = pi/2 into the function:

f(pi/2) = (pi/2) * cos(pi/2) / (1 + sin(pi/2))

Now, let's evaluate the individual trigonometric functions:

cos(pi/2) = 0 (cosine of pi/2 is 0) sin(pi/2) = 1 (sine of pi/2 is 1)

Now, we can plug these values back into the equation:

f(pi/2) = (pi/2) * 0 / (1 + 1) = 0 / 2 = 0

So, f(pi/2) is equal to 0.