Grade 11 - Trigonometric Functions

Convert between degree and radian measures using $180^\circ=\pi$, identify coterminal and reference angles in standard position, and use the unit circle, quadrant signs, and special angles $0^\circ,30^\circ,45^\circ,60^\circ,$ and $90^\circ$ to determine exact sine, cosine, and tangent values. Graph and interpret transformed sine and cosine functions, determining amplitude, period, phase shift, vertical displacement, midline, range, key points, zeros, maxima, minima, reflections, and periodic extensions from equations in degrees or radians. Model real-world periodic phenomena with $y=A\sin(B(x-C))+D$ or $y=A\cos(B(x-C))+D$, relating parameters to measurable amplitude, period, phase shift, midline, units, and values while distinguishing periodic behavior from linear change.