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3Blue1Brown
Derivative formulas through geometry | Essence of calculus, chapter 3
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...
Brian McLogan
How Do We Actually Use Sine and Cosine
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.
Brian McLogan
Easy Vs Hard Evaluating Trig Functions
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
Brian McLogan
3 Tips for Graphing Piecewise Functions
New ReviewIn this video we are going to explore three tips that you can follow to better understand graphing logarithms.
Brian McLogan
Why Graphing Sine First Helps You Graph Cosecant
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...
Brian McLogan
The 3 Tips Nobody Tells You About Graphing Sine and Cosine
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...
Curated Video
Checking and securing understanding of cosine problems
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...
Curated Video
Drawing the tangent graph
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...
Curated Video
Problem solving with right-angled trigonometry
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...
Curated Video
Applying trigonometric ratios in context
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...
Curated Video
Interpreting the trigonometric graphs
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 -...
Curated Video
Calculate trigonometric ratios for 30° and 60°
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...
Curated Video
Advanced problem solving with right-angled trigonometry
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...
Curated Video
Problem solving with non right-angled trigonometry
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
Curated Video
Checking and securing understanding of trigonometric ratios
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...
Curated Video
Calculate trigonometric ratios for 0°, 45° and 90°
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...
Curated Video
Drawing the sine and cosine graphs
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...
Curated Video
Using the cosine ratio
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...
Curated Video
Using the tangent ratio
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...
Curated Video
Calculating the area of any triangle when the height is not known
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...
Curated Video
Checking and securing understanding of tangent ratio problems
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...
Curated Video
Checking and securing understanding of sine ratio problems
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...
Curated Video
Checking and securing understanding of the unit circle
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 -...
Curated Video
The unit circle
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. -...