below. Make sure you draw a smooth curve. How does this graph compare to your y = sin x hand-drawn graph in problem 2? Use your graphing calculator to graph Check your mode to make sure you are using y = cos x. radians and make sure you have an appropriate window for your data. Use the grid below to draw an accurate graph of Make sure you draw a smooth curve. How does this graph cos x. compare to your hand-drawn graph in problem 5? Using your calculator, graph and on the same axis. How are they alike? How y = sin x y = cos x are they different? Answers may vary. Similarities include: period, max, min, overall shape Differences include: when x-intercepts, max and occur ; location of y-intercepts min’s Using what you have learned about the graphs of the sine and cosine functions, practice graphing the functions by hand. You should be able to quickly sketch the graphs of these functions, making sure to include zeroes, intercepts, maximums and minimums. Be sure to create a smooth curve! Students should not move on until they feel comfortable sketching the sine and cosine graphs. They need to use their unit circles and their basic understanding of the shape of the graph to create these quick sketches. Exploring Sine and Cosine Graphs
y = sin x below. Make sure you draw a smooth curve. How does this graph compare to your hand-drawn graph in problem 2? Use your graphing calculator to graph y = cos x. Check your mode to make sure you are using radians and make sure you have an appropriate window for your data. Use the grid below to draw an accurate graph of cos x. Make sure you draw a smooth curve. How does this graph compare to your hand-drawn graph in problem 5? Using your calculator, graph y = sin x and y = cos x on the same axis. How are they alike? How are they different? Answers may vary. Similarities include: period, max, min, overall shape Differences include: when x-intercepts, max and min’s occur ; location of y-intercepts Using what you have learned about the graphs of the sine and cosine functions, practice graphing the functions by hand. You should be able to quickly sketch the graphs of these functions, making sure to include zeroes, intercepts, maximums and minimums. Be sure to create a smooth curve! Students should not move on until they feel comfortable sketching the sine and cosine graphs. They need to use their unit circles and their basic understanding of the shape of the graph to create these quick sketches. Exploring Sine and Cosine Graphs