Question

identify the TRUE statement relating to a property of the function y = sin x

A. one cycle of the function is 180 degrees
B. The maximum and minimum values of the function are 1 and -1 respectively
C. The amplitude of the function is 2 units
D. The equation of the baseline is y = -1

Answer 1

The true statement relating to a property of the function y =sin x is that the maximum and minimum values of the function are 1 and -1 respectively. Option B

Properties of the function

The following are the properties of the sin trigonometric ratio of the function;

• The sine graph rises till +1 and then falls back till -1 from where it rises again.

• The function y = sin x is an odd function
• The domain of y = sin x is the set of all real numbers

• The range of sine function is the closed interval [-1, 1]
• The amplitude of the function is half its range value
• One cycle of the function is 6. 28

From the above listed deductions, we can see that the true statement about the function y = sin x is that the range which is always known as the maximum and minimum values of the function are 1 and - 1 respectively.

Thus, the true statement relating to a property of the function y =sin x is that the maximum and minimum values of the function are 1 and -1 respectively. Option B

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