Skip to main content

Alg2.6 Trigonometric Functions

I can use the Pythagorean Theorem to find coordinates of points on a circle centered at the origin.
I understand that a periodic function is one with outputs that repeat at regular intervals.

I understand how to use trigonometry to express the coordinates of a point in quadrant 1 that is 1 unit away from the origin.

I understand that a radian angle measurement is the ratio of the arc length to the radius of the circle.
I understand that points on a unit circle can be defined by their coordinates or by an angle of rotation.

I can find different angles on the unit circle and estimate their coordinates.

I can use the Pythagorean Identity to calculate values of coordinates given one coordinate to start from.
I understand that the coordinates of a point on the unit circle at $\theta$ radians can be written as $(\cos(\theta),\sin(\theta))$.

I can use the Pythagorean Identity to find the values of cosine, sine, and tangent of an angle if I know one of them and the quadrant of the angle.

I can use cosine and sine to figure out information about points rotating in circles.

I understand that the graph of a periodic function can look like a wave whose outputs repeat between the same maximum and minimum values.

I can use the coordinates of points on the unit circle to graph the cosine and sine functions.

I understand how to find the values of cosine and sine for inputs greater than $2\pi$ radians.

I understand how to find the values of cosine and sine for inputs less than 0 radians.

I can explain why the tangent function has a period of $\pi$.
I understand why the graph of tangent has asymptotes.

I can write a trigonometric function to represent situations with different amplitudes and midlines.

I can graph a horizontal translation of a trigonometric function.
I can use the amplitude and midline of a trigonometric equation to describe a situation.

I can identify the midline, amplitude, and horizontal translation of a trigonometric function given a graph or equation.

I can find the period of a trigonometric function using an equation or graph.

I can ask questions to figure out how a trigonometric function was transformed.
I can create an equation of a trigonometric function using information about its graph.

I can represent a circular motion situation using a graph and an equation.

I can create a model of data that is approximately periodic and use the model to make predictions.