F-TF

F-TF.1Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.F-TF.2Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.F-TF.3Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the values of sine, cosine, and tangent for π-x, π+x, and 2π–x in terms of their values for x, where x is any real number.F-TF.4Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.F-TF.5Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.F-TF.6Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows its inverse to be constructed.F-TF.7Use inverse functions to solve trigonometric equations that arise in modeling contexts; evaluate the solutions using technology, and interpret them in terms of the context.F-TF.8Prove the Pythagorean identity sin(θ)^2 + cos(θ)^2 = 1 and use it to find sin(θ), cos(θ), or tan(θ), given sin(θ), cos(θ), or tan(θ) and the quadrant of the angle.F-TF.9Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems.
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