Trigonometry Mathematics Standards Trigonometry Trigonometry is a discipline that utilizes the techniques of both the algebra and geometry that students have previously learned. The trigonometric functions studied are defined geometrically, rather than in terms of algebraic equations. Facility with these functions as well as being able to prove basic identities regarding them is especially important for students intending to study calculus, more advanced mathematics, physics and other sciences, and engineering in college.
Students understand the notion of angle, and how to measure it, both in degrees and radians.
They can convert between degrees and radians. Students know the definition of sine and cosine as y and x coordinates of points on the unit circle, and are familiar with the graphs of the sine and cosine functions. 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.