Sep 02, 2014 - Student Outcomes
Students see derivations and proofs of the addition and subtraction formulas for sine and cosine.
Students prove some simple trigonometric identities.
Sep 02, 2014 - Student Outcomes
Students prove simple identities involving the sine function, cosine function, and secant function.
Students recognize features of proofs of identities.
Sep 02, 2014 - Student Outcomes
Students prove the Pythagorean identity sin2(x) + cos2(x) = 1.
Students extend trigonometric identities to the real line, with attention to domain and range.
Students use the...
Jan 26, 2016 - Student Outcomes
Students review how changing the parameters A, ω, h, and k in f(x) = A sin(ω(x - h)) + k affects the graph of the sine function.
Students examine the example of the Ferris wheel,...
Jan 26, 2016 - Student Outcomes
Students observe identities from graphs of sine and cosine basic trigonometric identities and relate those identities to periodicity, even and odd properties, intercepts, end...
Jan 26, 2016 - Student Outcomes
Students define the secant function and the co-functions in terms of points on the unit circle. They relate these names for these functions to the geometric relationships among lines...
Jan 26, 2016 - Student Outcomes
Students define the tangent function and understand the historic reason for its name.
Students use special triangles to determine geometrically the values of the tangent function for...
Jan 26, 2016 - Student Outcomes
Students will define sine and cosine as functions for all real numbers measured in degrees.
Students will evaluate the sine and cosine functions at multiples of 30 and 45.
Jan 26, 2016 - Student Outcomes
Students will define sine and cosine as functions for degrees of rotation of the ray formed by the positive -axis up to one full turn.
Students use special triangles to geometrically...
Jan 26, 2016 - Student Outcomes
Students explore the historical context of trigonometry as motion of celestial bodies in a presumed circular arc.
Students describe the position of an object along a line of sight in...
Dec 15, 2014 - Student Outcomes
Students model and graph two functions given by the location of a passenger car on a Ferris wheel as it is rotated a number of degrees about the origin from an initial reference...
Sep 02, 2014 - Student Outcomes
Students apply geometric concepts in modeling situations. Specifically, they find distances between points of a circle and a given line to represent the height above the ground of a...
