5. Draw the graph of 3 cos 2x between 0º and 360°.
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Answer:
Remember the cos function has the following points:
(0,1),(90,0),(180,−1),(270,0),(360,1)
Explanation:
But because it 2x the period is shortened. It will reach its 0−point after only 45, the −1 after 90, etc.
So the points are now:
(0,1),(45,0),(90,−1),(135,0),(180,1),(225,0),(270,−1),(315,0),(360,1)
(vertical axis on the graph below should be read as 100=1)
graph{100cos(2pix/180) [-27.8, 453, -127.5, 113.2]}
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