Students know the definition of the tangent and cotangent functions, and can graph them. Students know the definitions of the secant and cosecant functions, and can graph them. Students know that the tangent of the angle a line makes with the x-axis is equal to the slope of the line. Students know the definitions of the inverse trigonometric functions, and can graph the functions. Students compute, by hand, the values of the trigonometric functions and the inverse trigonometric functions at various standard points.
Students use trigonometry to determine unknown sides or angles in right triangles.
Students know the Laws of Sines and the Law of Cosines, and apply them to problems. Students determine the area of a triangle given one angle and the two adjacent sides. Students are familiar with polar coordinates. In particular, they can determine polar coordinates of a point given in rectangular coordinates, and vice versa. Students represent equations given in rectangular coordinates in terms of polar coordinates.