Brian McLogan
Evaluating the composition of Functions using Right Triangles
👉 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
Using the law of sines when there are two cases
👉 Learn how to determine if a given SSA triangle has 1, 2 or no possible triangles. Given two adjacent side lengths and an angle opposite one of them (SSA or ASS), then there are 3 possible cases: there can be 1 solution, 2 solutions,...
Brian McLogan
Evaluate the sum difference identities of two triangles
👉 Learn how to evaluate the secant of the sum or difference of two angles using the sum/difference formulas. To do this, we first use the Pythagoras theorem to obtain all the sides of the right triangle in the unit circle. Recall that...
Brian McLogan
Ambiguous case 1 triangle how to tell
👉 Learn how to determine if a given SSA triangle has 1, 2 or no possible triangles. Given two adjacent side lengths and an angle opposite one of them (SSA or ASS), then there are 3 possible cases: there can be 1 solution, 2 solutions and...
Brian McLogan
Find the missing side of a right triangle without a calculator
Find the missing side of a right triangle without a calculator
Brian McLogan
Master How to determine the area of an oblique triangle
Master How to determine the area of an oblique triangle
Brian McLogan
Using the triangle midsegment theorem to find the missing midsegment
👉 Learn how to solve for the unknown in a triangle divided internally such that the division is parallel to one of the sides of the triangle. The triangle proportionality theorem states that if a line is parallel to one side of a...
Brian McLogan
How to determine all the missing angles of two triangles ex 3
👉 Learn how to define and classify different angles based on their characteristics and relationships are given a diagram. The different types of angles that we will discuss will be acute, obtuse, right, adjacent, vertical, supplementary,...
Brian McLogan
Watch me complete the unit circle
👉 Learn about the unit circle. A unit circle is a circle which radius is 1 and is centered at the origin in the cartesian coordinate system. To construct the unit circle we take note of the points where the unit circle intersects the x-...
Brian McLogan
Use a triangle to evaluate the composition of trig 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,...
Curated Video
GCSE Secondary Maths Age 13-17 - Algebra: Algebra - 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
Master writing the vector given the direction and magnitude
Master writing the vector given the direction and magnitude
Curated Video
How You Can Determine Similarity
In this video lesson, we will learn the definition of similar figures. Similar figures are figures that are the same shape but different sizes. Similar figures have corresponding sides that are proportional and corresponding angles that...
Curated Video
Solve for Unknown Side Lengths Using the Pythagorean Theorem
In this video, students will learn how to solve for unknown side lengths in right triangles using substitution with the Pythagorean theorem. The video explains the Pythagorean theorem and how to create equations using it. It also reviews...
Brian McLogan
Evaluate trigonometric functions - Math homework answers
👉 Learn how to evaluate trigonometric functions of a given angle. Given an angle greater than 2pi in radians, to evaluate the trigonometric functions of the given angle, we first determine the smallest positive coterminal angle of the...
Brian McLogan
Using a set of points to determine if two triangles are similar to each other
👉 Learn how to determine whether two triangles are similar given the coordinate points of the vertices of the triangle. Two triangles are said to be equal when the corresponding angles of the triangles are congruent (equal) or when the...
Brian McLogan
Showing two triangles are similar when they overlay each other using SAS
👉 Learn how to solve for the unknown in a triangle divided internally such that the division is parallel to one of the sides of the triangle. The triangle proportionality theorem states that if a line is parallel to one side of a...
Brian McLogan
Writing a Proof for Two Triangles Congruent Under SSS - Congruent Triangles
👉 Learn how to prove that two triangles are congruent. Two or more triangles are said to be congruent if they have the same shape and size. There are many postulates and theorems to determine whether two triangles are congruent. They...
Brian McLogan
How to Determine X and Y Using Congruent Triangles
👉 Learn how to solve for unknown variables in congruent triangles. Two or more triangles are said to be congruent if they have the same shape and size. When one of the values of a pair of congruent sides or angles is unknown and the...
Brian McLogan
How Does Congruency of ASA Look like - Congruent Triangles
👉 Learn about congruent triangles theorems. Two or more triangles (or polygons) are said to be congruent if they have the same shape and size. There are many methods to determine whether two triangles are congruent. Some of the methods...
Brian McLogan
How to use special right triangles to find the value for cosine of 60 degrees
👉 Learn how to evaluate trigonometric functions using the special right triangles. A right triangle is a triangle with 90 degrees as one of its angles. A special right triangle is a right triangle with the angles 30, 60, 90 degrees or...
Brian McLogan
One, Two, Or No Triangles (How Can You Tell)
The ambiguous case can be very confusing on how to determine 1, 2 or no triangles and how it can make sense. In this video I try to give you visual pointers as well as some formulas to help you remember what case you have. Hope it helps.
Curated Video
Proving the Pythagorean Theorem using the Area of a Square and its Pieces
In this lesson, students will learn how to prove the Pythagorean theorem using the area of a square and its pieces. The video demonstrates the process of duplicating a right triangle to form a square with four right triangles on the...
Brian McLogan
Pre-Calculus - How to Evaluate Using The Double Angle of Sine
👉 Learn how to evaluate the double angle of sine. The value of the sine of double a given angle can be obtained given the value of the sine of the angle. The value of the sine of double a given angle is obtained using the formula sin(2u)...