Trigonometry

This badge demonstrates the earner's ability to calculate the trigonometric function values of acute angles, non-acute angles, and right triangles.

This badge demonstrates the earner's ability to solve for various triangles using applications of trigonometry and vectors including the Law of Sines and the Law of Cosines.

This badge demonstrates the earner's ability to solve equations involving complex numbers including the trigonometric (polar) form of complex numbers, product and quotient theorems of complex numbers, De Moivre's Theorem, and powers and roots of complex numbers.

This badge demonstrates the earner's ability to translate the graphs of sine, cosine, tangent, cotangent, secant, and cosecant functions.

This badge demonstrates the earner's ability to solve for inverse circular functions including inverse cotangent, secant, and cosecant functions, and conditional trigonometric equations.

This badge demonstrates the earner's ability to solve parametric equations and polar equations using the polar coordinate system.

This badge demonstrates the earner's ability to calculate the radian measure of angles including converting degrees to radians and approximating circular function values.

This badge demonstrates the earner's ability to determine the angles and angle relationships of triangles incorporating trigonometric functions and quadrantal angles.

This badge demonstrates the earner's ability to verify the various types of trigonometric identities including fundamental identities, identities for cosine, identities for sine and tangent, double-angle identities, and half-angle identities.