New ReviewIn this video we are going to explore an easy problem for evaluating the inverse of the tangent function and a hard problem for evaluating the inverse tangent.

New ReviewIn this video we are going to work on how to determine the quadrant that the terminal side of an angle lies in.

New ReviewWhen you are first learning how to evaluate trig functions using the unit circle there are some very important steps you need to know and understand. In this video we will dive right in

New ReviewNot all problems should be done in your head, but sometimes it is advised to do math in your head. Here are my top problems I want my students to be able to do.

New ReviewIn this video we are going to review the types of problems of trigonometry that you can expect to see on your precalculus semester 1 midterm exam

New ReviewIn this video I am going to work through my step by step formula to graphing the cosine function

Pupil outcome: I can use the cosine ratio to find the missing side or angle in a right-angled triangle. Key learning points: - The cosine ratio involves the hypotenuse, adjacent and the angle - If you know the length of the hypotenuse...

Pupil outcome: I can draw the graph for the tangent trigonometric function. Key learning points: - The unit circle can help you predict what the tangent graph will look like - The tangent graph has asymptotes - The trigonometric...

Pupil outcome: I can apply trigonometric ratios to practical situations including angles of elevation and depression. Key learning points: - Trigonometric ratios are used in many scenarios - Trigonometric ratios are used to calculate the...

Pupil outcome: I can read values from the graphs and can identify how many solutions exist within a given range. Key learning points: - Reading solutions from trigonometric graphs is the same as reading solutions from any other graph -...

Pupil outcome: I can appreciate the range of values of the trigonometric functions. Key learning points: - The unit circle is a circle with a radius of one - The unit circle is centered on the origin - The sine of an angle is the...

Pupil outcome: I can calculate trigonometric ratios for 0°, 45° and 90°. Key learning points: - The trigonometric ratios for 45° can be calculated using a square - The square should have lengths of 1 unit - By splitting the square into...

Pupil outcome: I can draw the graphs for the trigonometric functions sine and cosine. Key learning points: - The unit circle can help you predict what the graphs of the trigonometric functions will look like - The sine and cosine graphs...

Pupil outcome: I can use the cosine ratio to find the missing side or angle in a right-angled triangle. Key learning points: - The cosine ratio involves the hypotenuse, adjacent and the angle. - If you know the length of the hypotenuse...

Pupil outcome: I can use the tangent ratio to find the missing side or angle in a right-angled triangle. Key learning points: - The tangent ratio involves the opposite, adjacent and the angle. - If you know the length of the opposite and...

Pupil outcome: I can use the tangent ratio to find the missing side or angle in a right-angled triangle. Key learning points: - The tangent ratio involves the opposite, adjacent and the angle - If you know the length of the opposite and...

Pupil outcome: I can use the sine ratio to find the missing side or angle in a right-angled triangle. Key learning points: - The sine ratio involves the hypotenuse, opposite and the angle - If you know the length of the hypotenuse and...

Pupil outcome: I can derive the tangent ratio from the sides of a right-angled triangle. Key learning points: - When the adjacent has a length of one, the opposite side has a length of tan⁡(θ). - You can apply a scale factor to this...

Pupil outcome: I can recognise the right-angled triangle within a unit circle and use proportion to scale to similar triangles. Key learning points: - There are specific ratios within the two key right-angled triangles defined by the...

Pupil outcome: I can see how the trigonometric functions are derived from measurements within a unit circle and how this can be utilised. Key learning points: - Trigonometric functions are derived from measurements within a unit circle -...

Pupil outcome: I can derive the sine and cosine ratios from the sides of a right-angled triangle. Key learning points: - When the hypotenuse has a length of one, the opposite side has length sin⁡(θ) - When the hypotenuse has a length of...

This is the first of several videos about the Unit Circle. In this video, we will define the unit circle and fill in the radians and degrees. This video explains how to DERIVE the unit circle, but not necessarily how to use it.

This is my second video on deriving the Unit Circle. If you know where the angles (degrees and radians) come from, your next step is to use special right triangles to derive the points on the Unit Circle.

In this video, we learn the 1-2-3 method for memorizing the points on the unit circle. This is not a video where we derive the unit circle, I have other videos about that. Here, we just try to memorize the unit circle so that we can...