T.CT.1

The student will determine the degree and radian measure of angles; sketch angles in standard position on a coordinate plane; and determine the sine, cosine, tangent, cosecant, secant, and cotangent of an angle, given a point on the terminal side of an angle in standard position or the value of a trigonometric function of the angle.

T.CT.1.aDefine a radian as a unit of angle measure and determine the relationship between the radian measure of an angle and the length of the intercepted arc in a circle.T.CT.1.bDetermine the degree and radian measure of angles to include both negative and positive rotations in the coordinate plane.T.CT.1.cFind both positive and negative coterminal angles for a given angle.T.CT.1.dIdentify the quadrant or axis in/on which the terminal side of an angle lies.T.CT.1.eDraw a reference right triangle when given a point on the terminal side of an angle in standard position.T.CT.1.fDraw a reference right triangle when given the value of a trigonometric function of an angle (sine, cosine, tangent, cosecant, secant, and cotangent).T.CT.1.gDetermine the value of any trigonometric function (sine, cosine, tangent, cosecant, secant, and cotangent) when given a point on the terminal side of an angle in standard position.T.CT.1.hGiven one trigonometric function value, determine the other five trigonometric function values.T.CT.1.iCalculate the length of an arc of a circle in radians.T.CT.1.jCalculate the area of a sector of a circle.
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