Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

what is the maximum of f(x) = sin(x)? -2π -1 1 2π

Question

what is the maximum of f(x) = sin(x)?
-2π
-1
1

Explanation:

Step1: Recall the range of sine function

The sine function \( f(x)=\sin(x) \) has a range of \( [-1, 1] \), which means the values of \( \sin(x) \) lie between -1 and 1, inclusive.

Step2: Determine the maximum value

From the range \( [-1, 1] \), the maximum value (the largest number in this interval) is 1.

Answer:

1 (corresponding to the option "1")