PC.MGSR.2: Solve problems and model periodic phenomena with trigonometric expressions and functions.

Solve problems and model periodic phenomena with trigonometric expressions and functions.

PC.MGSR.2.1Determine the area of a triangle to solve problems.PC.MGSR.2.2Prove and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles.PC.MGSR.2.3Derive the formulas for the length of an arc and the area of a sector in a circle and apply these formulas to solve mathematical and real-world situations.PC.MGSR.2.4Determine geometrically the values of the sine, cosine, and tangent for π/6, π/4, and π/3 by special triangles, 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.PC.MGSR.2.5Define the six trigonometric ratios in terms of x, y, and r using the unit circle centered at the origin of the coordinate plane and interpret radian measures of angles as a rotation both counterclockwise and clockwise around the unit circle.PC.MGSR.2.6Explain symmetry, both odd and even, and periodicity of trigonometric functions.

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