#  Pick up handout: Trig Function Decimal Approximations  Fill in the radians column and reference angle column  Use your calculator to find the decimal.

## Presentation on theme: " Pick up handout: Trig Function Decimal Approximations  Fill in the radians column and reference angle column  Use your calculator to find the decimal."— Presentation transcript:

 Pick up handout: Trig Function Decimal Approximations  Fill in the radians column and reference angle column  Use your calculator to find the decimal approximations for the six trig functions and fill in the rest of the table

 Find the exact value of each of the following:

 On Monday  8 minute time limit  All or nothing  Must be turned in by the end of 8 minutes to count.

 (x, y) = (cos θ, sin θ)  If we want a graph of sin θ, we can plot y-values as a function of θ. ◦ You did this in the Making Waves activity  If we want a graph of cos θ, we can plot x-values as a function of θ.

 Cyclical (repeats)  Continuous  Goes through origin  Has an amplitude of 1  Has a period of 2π  Domain=ℝ (all real #s)  Range = [-1, 1]  Odd function ◦ Rotational symmetry

 Amplitude = |A| = the half-height of the curve  Period = 2π/B ◦ The length of one cycle ◦ The horizontal distance between consecutive corresponding points  Phase Shift = C/B = distance the curve is shifted right  Vertical Shift = D = distance the curve is shifted up

 http://www.intmath.com/trigonometric- graphs/3-graphs-sin-cos-phase- shift.php#java http://www.intmath.com/trigonometric- graphs/3-graphs-sin-cos-phase- shift.php#java  http://www.analyzemath.com/trigonometry/ sine.htm http://www.analyzemath.com/trigonometry/ sine.htm

 Determine the amplitude, period, phase shift, and vertical shift of the function.

 Cyclical (repeats)  Continuous  y-intercept at (0, 1)  Has an amplitude of 1  Has a period of 2π  Domain=ℝ (all real numbers)  Range = [-1, 1]  Even function ◦ Symmetric across y-axis

 Amplitude = |A| = the half-height of the curve  Period = 2π/B ◦ The length of one cycle ◦ The horizontal distance between consecutive corresponding points  Phase Shift = C/B = distance the curve is shifted right  Vertical Shift = D = distance the curve is shifted up

 http://www.intmath.com/trigonometric- graphs/3-graphs-sin-cos-phase- shift.php#java http://www.intmath.com/trigonometric- graphs/3-graphs-sin-cos-phase- shift.php#java  http://www.analyzemath.com/cosine/cosine. html http://www.analyzemath.com/cosine/cosine. html

 Determine the amplitude, period, phase shift, and vertical shift of the function.

 Determine the amplitude, period, phase shift, and vertical shift of the function. Then graph.

 Page 493 #1-49 Every Other Odd  Use graph paper for graphs  Check graphs with your TI-83

 In Exercises 1-6, determine the amplitude of each function. Then graph the function and y=sin(x) in the same rectangular coordinate system for 0≤x≤2π.  In Exercises 7-16, determine the amplitude and period of each function. Then graph one period of the function.

1. Draw your x-axis and y-axis 2. Number your positive x-axis. Start at 0, and place each angle (in radians) that is on the unit circle on your x-axis. Keep consistent spacing! 3. Number your negative x-axis. Do the same thing, but in the opposite direction and include negative signs. 4. Number your y-axis. 5. Draw dashed lines for any asymptotes. 6. Draw points, such as (π/6, sin(π/6))  (π/6,.5) 7. Connect the points to make a smooth curve.

Download ppt " Pick up handout: Trig Function Decimal Approximations  Fill in the radians column and reference angle column  Use your calculator to find the decimal."

Similar presentations