Curated Video
GCSE Secondary Maths Age 13-17 - Graphs: Graphs - Explained
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 steps. This video...
Brian McLogan
Pre-Calculus - Simplifying a trigonometric expression with only two functions,tan(x)*cos(x)
In this video playlist you will learn all about Analytic Trigonometry. We will start by simplifying trigonometric expressions using trigonometric identities such as the quotient, reciprocal,Pythagorean Identies as well basic algebraic...
Brian McLogan
What is a directed line segment or vector
in this video series I will show you how to find the angle of a vector when given in component form or as a linear combination. To understand the direction of a vector it is important to go back to the unit circle and determine how we...
Amor Sciendi
The School of Athens II: The Force of Roman Architecture
Part two of the series on Raphael's The School of Athens, located inside the Vatican Museum in Vatican City. We examine the forces required to hold the arches in place, and look at how this enhances the composition.
Brian McLogan
Pre-Calculus - Finding the missing sides of a 45 45 90 triangle using special relationships
👉 Learn about the special right triangles. A special right triangle is a right triangle having angles of 30, 60, 90, or 45, 45, 90. Knowledge of the ratio of the length of sides of a special right triangle enables us to solve for any...
Brian McLogan
How to apply the inverse of tangent to find the missing values of your triangle
👉 Learn how to find a missing angle 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 gives us the relationship between the angles of a right...
Brian McLogan
Find the missing value using two secant lines from a point outside of the circle
Learn how to solve problems with secant lines. A secant line is a line that intersects a circle at exactly 2 points in contrast to a tangent line which is a line that touches a circle at exactly one point. When two secant lines...
Brian McLogan
How to solve a trigonometric equation with tangent
👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric identities, they include by factoring out the GCF and simplifying the factored equation. Another method is to use a...
Brian McLogan
What are the reciprocal identities of trigonometric functions
👉 Learn all about the different trigonometric identities and how they can be used to evaluate, verify, simplify and solve trigonometric equations. The identities discussed in this playlist will involve the quotient, reciprocal,...
Brian McLogan
Verifying trigonometric identities by converting to sines and cosines
👉 Learn how to verify trigonometric identities involving the addition and subtraction of terms. To do this it is usually useful to convert the addition or subtraction terms in terms of one trigonometric function and then evaluate....
Brian McLogan
Verifying an identity by combining like terms and using reciprocal properties
👉 Learn how to verify rational trigonometric identities involving the addition and subtraction of terms. To verify trigonometric expression means to verify that the term on the left-hand side of the equality sign is equal to the term on...
Brian McLogan
Applying the sum of two angles tangent formula
👉 Learn how to evaluate the tangent of an angle in degrees 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...
Brian McLogan
Solving an equation with multiple angles between 0 and 2pi
👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include by factoring out the GCF and simplifying the factored equation. Another method is to use a...
Brian McLogan
Using the cofunction identities to simplify a trig expression
👉 Learn all about simplify trigonometric identities. In this playlist we will learn how to simplify using multiple trigonometric identities. We will use the quotient, reciprocal and Pythagorean identities as well as algebraic operations...
Brian McLogan
Multiplying two trig functions using identities
👉 Learn how to simplify trigonometric expressions by factoring, expansion, and re-grouping. To simplify a trigonometric identity means to reduce the identity to the simplest form it can take which may be a number or a simple...
Brian McLogan
Math tutorial for verifying a trigonometric identity
👉 Learn how to verify trigonometric identities involving the addition and subtraction of terms. To do this it is usually useful to convert the addition or subtraction terms in terms of one trigonometric function and then evaluate....
Brian McLogan
Find an antiderivative of secant squared
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite...
Brian McLogan
How to create the graphs of tangent and cotangent from the unit circle
👉 Learn the basics of graphing a tangent and a cotangent function. To plot the tangent and the cotangent graph we choose a set of points and form a table of values with which we plot the points on the x-y coordinate axis to obtain the...
Brian McLogan
How to evaluate for the composition of two trigonometric functions
👉 Learn how to evaluate an expression with the composition of a function and a function inverse. Just like every other mathematical operation, when given a composition of a trigonometric function and an inverse trigonometric function,...
Brian McLogan
Sum and Difference Formula Evaluate Right Triangles
Sum and Difference Formula Evaluate Right Triangles
Brian McLogan
Learning How to Graph and Find the Change in Period of Tangent
👉 Learn how to graph a tangent function. To graph a tangent function, we first determine the period (the distance/time for a complete oscillation), the phase shift (the horizontal shift from the parent function), the vertical shift (the...
Brian McLogan
Graphing the Tangent Functions with a Phase Shift
👉 Learn all about graphing trigonometric functions. In this playlist, we will explore how to graph the sine, cosine, tangent, cotangent, cosecant and secant function. We will explore the characteristics of each graph as well as how to...
Brian McLogan
Learn to find the bearing back to port by using trigonometry
👉 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...
Brian McLogan
Given a coordinate point, evaluate the six trigonometric functions
👉 Learn all about evaluating trigonometric functions with triangles. In this playlist, we will learn how to evaluate, sine, cosine, tangent, cotangent, secant, and cosecant when given the sides of a triangle. If we have missing sides we...