The graph of one period of sin is given below. Use the graph to match each value of θ with the correct approximate value of sin(θ) . Make sure to explain how you found your answers in your work. (1 point) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. 90° 300° 60°
For the given graph of one period of sin, we can read off the value of sin(θ) at each of the given angles:
- sin(90°) is approximately 1
- sin(300°) is approximately -1
- sin(60°) is approximately √3/2
Therefore, the correct matches are:
- sin(90°) ≈ 1
- sin(300°) ≈ -1
- sin(60°) ≈ √3/2
for 60 √3/2 is not there the only answers are
-0.8
-0.5
0.5
0.8
so whats the correct answer?
In that case, since sin(60°) is not approximately √3/2 based on the options provided, we need to find the closest match.
From the graph, we can see that sin(60°) is positive and closer to 0.8 than 0.5. Therefore, the closest match for sin(60°) would be approximately 0.8.