MA.912.T: Trigonometry

MA.912.T.1: Extend the definitions of the trigonometric functions beyond right triangles using the unit circle, and measure angles in radians as well as degrees. Draw and analyze graphs of trigonometric functions (including finding period, amplitude, and phase shift), and use them to solve word problems. Define and graph inverse trigonometric functions, and determine values of both trigonometric and inverse trigonometric functions.

MA.912.T.1.1: Convert between degree and radian measures.

MA.912.T.1.2: Define and determine sine and cosine using the unit circle.

MA.912.T.1.4: Find approximate values of trigonometric and inverse trigonometric functions using appropriate technology.

MA.912.T.1.5: Make connections between right triangle ratios, trigonometric functions, and circular functions.

MA.912.T.1.6: Define and graph trigonometric functions using domain, range, intercepts, period, amplitude, phase shift, vertical shift, and asymptotes with and without the use of graphing technology.

MA.912.T.1.7: Define and graph inverse trigonometric relations and functions.

MA.912.T.1.8: Solve real-world problems involving applications of trigonometric functions using graphing technology when appropriate.

MA.912.T.2: Understand how the trigonometric functions relate to right triangles, and solve word problems involving right and oblique triangles. Understand and apply the laws of sines and cosines. Use trigonometry to find the area of triangles.

MA.912.T.2.1: Define and use the trigonometric ratios (sine, cosine, tangent, cotangent, secant, and cosecant) in terms of angles of right triangles.

MA.912.T.2.2: Solve real-world problems involving right triangles using technology when appropriate.

MA.912.T.3: Know basic trigonometric identities derived from definitions, and use them to prove other identities. Use the sum, difference, double-angle, and half-angle formulas. Solve trigonometric equations and word problems using trigonometry.

MA.912.T.3.2: Use basic trigonometric identities to verify other identities and simplify expressions.

MA.912.T.3.3: Use the sum and difference, half-angle and double-angle formulas for sine, cosine, and tangent, when formulas are provided.

MA.912.T.4: Define, use polar coordinates, and relate them to Cartesian coordinates. Translate equations in terms of Cartesian coordinates into polar coordinates, and graph the resulting equations in the polar coordinate plane. Convert complex numbers from standard to trigonometric form, and vice-versa. Multiply complex numbers in trigonometric form, and use De Moivre?s Theorem.

MA.912.T.4.4: Define the trigonometric form of complex numbers, convert complex numbers to trigonometric form, and multiply complex numbers in trigonometric form.

Correlation last revised: 5/10/2018

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.