Triangles are the building blocks of all other straight-edged shapes.
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They were used for hundreds of years to create accurate maps and GPS today still works using trigonometry. Even the pixels on phones and screens...

👉 Learn how to verify trigonometric identities having rational expressions. To verify trigonometric expression means to verify that the terms on the left-hand side of the equality sign is equal to the terms on the right-hand side. To...

👉 Learn how to evaluate the tangent of a half-angle. When given the value of the tangent of an angle, we can evaluate the tangent of half the angle using the tangent half-angle formula. When the value of any other trigonometric function...

Learn how to convert points between rectangular and polar. Rectangular points measure the horizontal and vertical distance away from the origin whereas polar coordinates measure the direct distance and angle in standard position from the...

In this video series you will learn multiple math operations. I teach in front of a live classroom showing my students how to solve math problems step by step. My math tutorials should be used to review previous lessons, complete your...

👉 Learn how to find a missing side length of a right triangle. A right triangle is a triangle that has 90 degrees as one of its angles. The trigonometric identities of right triangles give us the relationship between the angles of a...

In this video, the presenter explains how to use trigonometry to calculate missing angles and side lengths in non-right angle triangles. They describe two different methods, the sine rule and the cosine rule, and provide examples of when...

This is a tutorial style video that explains trigonometric graphs and their derivation from the unit circle. The video covers the three main trigonometric functions of sine, cosine, and tangent and explains their graphs, including...

Two 0.0018 kg balloons each have approximately equal magnitude excess charges and hang as shown. If θ = 21° and L = 0.39 m, what is the average number of excess charges on each balloon?

Not every triangle is a right-angle triangle, so we can't always use Pythagoras and SOHCAHTOA to find missing sides and missing angles. We instead use the sine rule or the cosine rule. They can both be used to find either missing...

👉 Learn how to evaluate inverse trigonometric functions. The inverse trigonometric functions are used to obtain theta, the angle which yielded the trigonometric function value. It is usually helpful to use the calculator to calculate the...

👉 Learn the basics to graphing sine and cosine functions. The sine graph is a sinusiodal graph with x-intercepts at x = 2n*pi, maximun value of 1 at x = pi/2 + 2n*pi and minimum value of -1 at x = -pi/2 + 2n*pi. The cosine graph is a...

👉 Learn how to verify trigonometric identities having rational expressions. To verify trigonometric expression means to verify that the terms on the left-hand side of the equality sign is equal to the terms on the right-hand side. To...

Law of Cosines

👉 Learn how to evaluate the sine of an angle in radians using the sum/difference formulas. To do this, we first express the given angle as a sum or a difference of two (easy to evaluate) angles, then we use the unit circle and the...

Graph polar point then convert to rectangular

👉 Learn how to find the derivative of trigonometric functions. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative of a...

In this video, the presenter discusses trigonometric graphs and their periodic nature. They explain how the sine, cosine, and tangent graphs repeat every 360 degrees in either direction and how this can lead to multiple answers for...

In this video I will show you how simplify 18 expressions using only the Pythagorean identities. We will cover I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences...

SchoolOnline's Secondary Maths videos are brilliant, bite-size tutorial videos delivered by examiners. Ideal for ages 13-17, they cover every key topic and sub topic covered in GCSE Maths in clear and easy to follow...

SchoolOnline's Secondary Maths videos are brilliant, bite-size tutorial videos delivered by examiners. Ideal for ages 13-17, they cover every key topic and sub topic covered in GCSE Maths in clear and easy to follow...

The Sine This video is a lecture on the sine rule in trigonometry, focusing on how to use it to solve problems involving non-right-angled triangles. The video begins with an overview of trigonometry and the important ratios sine, cosine,...

SchoolOnline's Secondary Maths videos are brilliant, bite-size tutorial videos delivered by examiners. Ideal for ages 13-17, they cover every key topic and sub topic covered in GCSE Maths in clear and easy to follow...

👉 Learn how to solve the word problems with trigonometry. Word problems involving angles, including but not limited to: bearings, angle of elevations and depressions, triangles problems etc are solved using trigonometry. To be able to...