Which of the following is the graph of y = sin(0.5x)?
2 answers:
The graph of y = sin (0.5x) can be seen in the picture in the attachment
<h3>Further explanation</h3>Firstly , let us learn about trigonometry in mathematics.
Suppose the ΔABC is a right triangle and ∠A is 90°.
<h3>sin ∠A = opposite / hypotenuse</h3><h3>cos ∠A = adjacent / hypotenuse</h3><h3>tan ∠A = opposite / adjacent </h3>There are several trigonometric identities that need to be recalled, i.e.
Let us now tackle the problem!
Given :
Let us try to find some important parameters of this function:
To find amplitude just look at the coefficient in front of the sine function which is 1, so the amplitude for this function is 1 unit.
y = 1 sin (0.5x)
To find the period, we will divide 2π by the coefficient of the variable x that is 0.5 in this function, so the period is 2π/0.5 = 4π
y = 1 sin (0.5x)
To find the maximum and minimum values, we substitute the maximum value of the sine function which is 1 and the minimum value of the sine function which is -1, so that the equation becomes:
Maximum Values of y = sin (0.5x) → y = 1
Minimum Values of y = sin (0.5x) → y = -1
From the values obtained above, a graph of the function can be sketched as shown in the picture in the attachment.
<h3>Learn more</h3>- Calculate Angle in Triangle : brainly.com/question/12438587
- Periodic Functions and Trigonometry : brainly.com/question/9718382
- Trigonometry Formula : brainly.com/question/12668178
Grade: College
Subject: Mathematics
Chapter: Trigonometry
Keywords: Sine , Cosine , Tangent , Opposite , Adjacent , Hypotenuse
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