PC.FGR.3: PC.FGR.3

PC.FGR.3

PC.FGR.3.1Use the concept of a radian as the ratio of the arc length to the radius of a circle to establish the existence of 2π radians in one revolution.PC.FGR.3.2Utilize right triangles on the unit circle to determine the values of the six trigonometric ratios for π/6, π/4, and π/3. Use reflections of the triangles as reference angles to establish known values in all four quadrants of the coordinate plane.PC.FGR.3.3Define the six trigonometric ratios in terms of x, y, and r using the unit circle centered at the origin of the coordinate plane. Interpret radian measures of angles as a rotation both counterclockwise and clockwise around the unit circle.PC.FGR.3.4Derive the fundamental trigonometric identities.PC.FGR.3.5Determine the value(s) of trigonometric functions for a set of given conditions.PC.FGR.3.6Graph and write equations of trigonometric functions using period, phase shift, and amplitude in modeling contexts.PC.FGR.3.7Classify the six trigonometric functions as even or odd and describe the symmetry.PC.FGR.3.8Restrict the domain of a trigonometric function to create an invertible function and graph the inverse function. Evaluate inverse trigonometric expressions.
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