1. Given y == -tan 0, 03 a. Sketch the graph for the given interval, show...
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1. Given y == -tan 0, 03 a. Sketch the graph for the given interval, show & label any asymptotes. (2 marks) b. Draw the line y = -1 on the graph in part a, and state the coordinates for the points where the two functions intercept. State exact values (not decimal approximations). (1 mark) 2. Given a sinusoidal function with a maximum at (90,2) and a consecutive minimum at (180,-4). a. Sketch the curve showing at least two cycles. Label the amplitude & period on your graph. (2 marks) 4 3 2 1 -360 -270 -180 -90 90 180 270 360 -1 -2 3 4 b. Complete the following chart for the sinusoidal curve. (3 marks) Domain Range Amplitude Period Equation of the Sinusoidal Axis (midline) Estimate (to the nearest degree) the value for the first positive zero 3. Given 3 tan201=0, 002 a. Algebraically solve. State the angle measure(s) as exact radian values. (2 marks) b. Use technology to verify the quadrant I solution graphically. Explain your steps. State the solution as a decimal approximation rounded to the nearest hundredth. (1 mark) C. Without using your calculator, show an algebraic verification for the quadrant III solution. Show at least 4 steps in your verification. (1 mark) 1. Given y == -tan 0, 03 a. Sketch the graph for the given interval, show & label any asymptotes. (2 marks) b. Draw the line y = -1 on the graph in part a, and state the coordinates for the points where the two functions intercept. State exact values (not decimal approximations). (1 mark) 2. Given a sinusoidal function with a maximum at (90,2) and a consecutive minimum at (180,-4). a. Sketch the curve showing at least two cycles. Label the amplitude & period on your graph. (2 marks) 4 3 2 1 -360 -270 -180 -90 90 180 270 360 -1 -2 3 4 b. Complete the following chart for the sinusoidal curve. (3 marks) Domain Range Amplitude Period Equation of the Sinusoidal Axis (midline) Estimate (to the nearest degree) the value for the first positive zero 3. Given 3 tan201=0, 002 a. Algebraically solve. State the angle measure(s) as exact radian values. (2 marks) b. Use technology to verify the quadrant I solution graphically. Explain your steps. State the solution as a decimal approximation rounded to the nearest hundredth. (1 mark) C. Without using your calculator, show an algebraic verification for the quadrant III solution. Show at least 4 steps in your verification. (1 mark)
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