Instructional Video18:43
3Blue1Brown

Derivative formulas through geometry | Essence of calculus, chapter 3

12th - Higher Ed
Introduction to the derivatives of polynomial terms and trigonometric functions thought about geometrically and intuitively. The goal is for these formulas to feel like something the student could have discovered, rather than something...
Instructional Video15:14
Brian McLogan

How Do We Actually Use Sine and Cosine

12th - Higher Ed
New ReviewWhen learning about sine and cosine it can be tricky to remember what they mean and how they are useful. In this video I hope to show you exactly what you need to know.
Instructional Video10:21
Brian McLogan

Easy Vs Hard Evaluating Trig Functions

12th - Higher Ed
New ReviewIn this video I am going to work through how to evaluate a basic trig function using the unit circle and one more difficult
Instructional Video11:51
Brian McLogan

3 Tips for Graphing Piecewise Functions

12th - Higher Ed
New ReviewIn this video we are going to explore three tips that you can follow to better understand graphing logarithms.
Instructional Video5:58
Brian McLogan

Why Graphing Sine First Helps You Graph Cosecant

12th - Higher Ed
New ReviewIn this video, I'll walk you through graphing cosecant functions by first focusing on the reciprocal sine graph. We'll explore the process for y=csc(2x) by understanding its relationship to y=sin(2x), covering key elements like amplitude...
Instructional Video17:06
Brian McLogan

The 3 Tips Nobody Tells You About Graphing Sine and Cosine

12th - Higher Ed
New ReviewIn this video, I'll walk you through three essential tips to help you graph sine and cosine functions effectively. We focus on understanding the core components like amplitude and period, which are crucial for accurately plotting these...
Instructional Video20:08
Curated Video

Checking and securing understanding of cosine problems

Pre-K - Higher Ed
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...
Instructional Video19:41
Curated Video

Drawing the tangent graph

Pre-K - Higher Ed
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...
Instructional Video19:04
Curated Video

Problem solving with right-angled trigonometry

Pre-K - Higher Ed
Pupil outcome: I can use my knowledge of right-angled trigonometry to solve problems. Key learning points: - Sometimes an answer may be best left in an exact form - When dealing with right-angled trigonometry, it is important to look at...
Instructional Video22:36
Curated Video

Applying trigonometric ratios in context

Pre-K - Higher Ed
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...
Instructional Video22:13
Curated Video

Interpreting the trigonometric graphs

Pre-K - Higher Ed
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 -...
Instructional Video24:08
Curated Video

Calculate trigonometric ratios for 30° and 60°

Pre-K - Higher Ed
Pupil outcome: I can calculate trigonometric ratios for 30° and 60°. Key learning points: - The trigonometric ratios for 30° and 60° can be calculated using an equilateral triangle - The triangle should have lengths of 2 units - By...
Instructional Video25:31
Curated Video

Advanced problem solving with right-angled trigonometry

Pre-K - Higher Ed
Pupil outcome: I can use my knowledge of right-angled trigonometry to solve problems. Key learning points: - Sometimes an answer may be best left in an exact form - When dealing with right-angled trigonometry, it is important to look at...
Instructional Video21:27
Curated Video

Problem solving with non right-angled trigonometry

Pre-K - Higher Ed
Pupil outcome: I can use my knowledge of trigonometry to solve problems. Key learning points: - Non right-angled trigonometry can be applied in various contexts - It has the potential to be applied whenever a triangle can be drawn
Instructional Video20:32
Curated Video

Checking and securing understanding of trigonometric ratios

Pre-K - Higher Ed
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...
Instructional Video21:10
Curated Video

Calculate trigonometric ratios for 0°, 45° and 90°

Pre-K - Higher Ed
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...
Instructional Video19:25
Curated Video

Drawing the sine and cosine graphs

Pre-K - Higher Ed
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...
Instructional Video23:11
Curated Video

Using the cosine ratio

Pre-K - Higher Ed
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...
Instructional Video25:28
Curated Video

Using the tangent ratio

Pre-K - Higher Ed
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...
Instructional Video19:10
Curated Video

Calculating the area of any triangle when the height is not known

Pre-K - Higher Ed
Pupil outcome: I can use the formula for the area of any triangle. Key learning points: - The formula for the area of any triangle can be used if the lengths of 2 sides are known - The size of the angle between the two sides must also be...
Instructional Video23:04
Curated Video

Checking and securing understanding of tangent ratio problems

Pre-K - Higher Ed
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...
Instructional Video26:44
Curated Video

Checking and securing understanding of sine ratio problems

Pre-K - Higher Ed
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...
Instructional Video30:58
Curated Video

Checking and securing understanding of the unit circle

Pre-K - Higher Ed
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 -...
Instructional Video34:14
Curated Video

The unit circle

Pre-K - Higher Ed
Pupil outcome: I can appreciate that the trigonometric functions are derived from measurements within a unit circle. Key learning points: - The unit circle is a circle with a radius of one. - The unit circle is centered on the origin. -...