The 11 videos in this collection focus on all aspects of Trigonometry, from Pythagoras' theorem to cosec, sec and cot.

Running Time

341 mins

Nb videos

11 videos included

Kanopy ID

1106067

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Pythagoras' Theorem

Pythagoras' theorem - the square on the hypotenuse is equal to the sum of the squares on the other two sides - is well known. In this tutorial we revise…

Trig Ratios in a Right Angled Triangle

Knowledge of the trigonometric ratios of sine, cosine and tangent is vital in very many fields of engineering, science and maths. This unit introduces them and provides examples of how…

Trig Ratios of an Angle of any Size

Knowledge of the trigonometric ratios sine, cosine and tangent is vital in many fields of engineering, maths and science. This unit explains how the sine, cosine and tangent of an…

Radian Measure

Most people usually learn to measure an angle in degrees. But in many scientific and engineering calculations radians are used in preference to degrees.

Trig Equations

The strategy we adopt in solving trigonometric equations is to find one solution using knowledge of commonly occurring angles and then use the symmetries in the graphs of the trigonometric…

Trig Identities

In this unit we consider trigonometric identities and how to use them to solve trigonometric equations.

Trig Functions

A common mathematical problem is to find the angles or lengths of the sides of a triangle when some, but not all, of these quantities are known. It is also…

Cosec, Sec and Cot

In this unit we see how the three trigonometric ratios cosecant, secant and cotangent can appear in trigonometric identities and in the solution of trigonometric equations. Graphs of the functions…

The Addition Formulae

There are six so-called addition formulae often needed in the solution of trigonometric problems. In this unit we start with one and derive a second. Then we take another one…

The Double Angle Formulae

Double angle formulae are so called because they involve trigonometric functions of double angles e.g. sin 2A, cos 2A and tan 2A.

a cos x + b sin x = R cos(x - α)

In this unit we explore how the sum of two trigonometric functions e.g. 3 cos x + 4 sin x, can be expressed as a single trigonometric function. Having the…

Trigonometry

Similar triangles
--finding an unknown height in a similar triangle
--tangent ratios of varying angles
--hypotenuse, adjacent, and opposite sides
--using a calculator to find the tangent ratio of any angle
--using tangent ratios to find an unknown adjacent or opposite side length

Math Series 2

Math lessons including Geometry, Probability, Problem Solving, Trigonometry and Ratios.

The Joy of Trigonometry

Trigonometry deals with the sides and angles of triangles. This lecture defines sine, cosine, and tangent, along with their reciprocals, the cosecant, secant, and cotangent. Extending these definitions to the unit circle allows a handy measure of angle: the radian.

What Is the Sine of 1°?

So far, you've seen how to calculate the sine, cosine, and tangents of basic angles (0deg, 30deg, 45deg, 60deg, and 90deg). What about calculating them for other angles--without a calculator? You'll use the Pythagorean theorem to come up with formulas for sums and differences of the trig identities, which then…

Circle-ometry—On Circular Motion

How can you figure out the "height" of the sun in the sky without being able to measure it directly with a ruler? Follow the path of ancient Indian scholars to answer this question using "angle of elevation" and a branch of geometry called trigonometry. You learn the basic trig…

Algebra

The 18 videos in this collection focus on all aspects of Algebra, from logarithms to quadratic equations and partial fractions.

Trigonometry through Right Triangles

The trig identities you explored in the last lecture go beyond circles. Learn how to define all of them just using triangles (expressed in the famous acronym SOHCAHTOA). Then, uncover how trigonometry is practically applied by architects and engineers to measure the heights of buildings.

Zero The Math Hero - Geometry Tutor

This is a 12 video playlist

Moving Bodies with Constant Mass

A compilation of the following programs: : Deceleration with parachutes, Acceleration with planes, Bows and Arrows, Differentiation of natural log of x (tutorial), Inverse Trig function - differentiation (tutorial), Exponential Functions (tutorial), Integrals that lead to log functions (tutorial), Integration by substitution (tutorial), Partial Fractions (tutorial) and Differential Equations -…

Arithmetic

The 8 videos in this collection focus on all aspects of Arithmetic, from fractions to percentages and ratios.

Early Mathematical Thinking

A collection of short films on child development.

Common Size, Trend, and Ratio Analysis

Common size analysis. Trend analysis. Ratio analysis. Three financial tools every seasoned businessperson should be able to use. First, learn how each of these tools is used. Then, get a closer look at five key categories of ratios to keep in mind, including liquidity ratios and market ratios.

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