To find the value of f(4) using the function f(x) = sec(x), we first need to understand what the secant function represents in mathematics. The secant function is the reciprocal of the cosine function, which means:
sec(x) = 1/cos(x)
Now, to find f(4), we will substitute x = 4 into the function:
f(4) = sec(4)
Next, we need to evaluate sec(4). Since 4 is in radians, we can use a calculator or trigonometric tables to find the cosine of 4. The cosine value is approximately:
cos(4) ≈ -0.6536
Now, we can find sec(4) by taking the reciprocal of this cosine value:
sec(4) = 1/cos(4) ≈ 1 / -0.6536 ≈ -1.5276
Therefore, the value of f(4) is approximately:
f(4) ≈ -1.5276
In conclusion, we have successfully found the value of f(4) using the equation. Remember, the secant function can vary greatly with different inputs, so it’s always important to reference the unit circle or use an accurate calculator for precise values.