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Brian McLogan
How to use special right triangles to find the value for cosine of 60 degrees
π 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
π 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)...
Brian McLogan
Solving SSA with law of sines and no solution
π 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
How to determine 1 2 or no triangles using the height
π 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
What are bearings and how do we use them
π 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
How to create a right triangle to compose trig functions
π 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
Evaluate the cosine of inverse tangent - free online tutoring
π 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
Evaluate the composition of inverse trig function with a negative value
π 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
Master Solving word problems with changing angles
Master Solving word problems with changing angles
Curated Video
I WONDER - What Is A Triangle?
This video is answering the question of what is a triangle.
Let's Tute
Criteria for Congruency of Triangles
In this video, the teacher explains the criteria for proving similarity and congruency between triangles, using different combinations of angles and sides. The video covers the AAA, AA, AAS, SAS, SSS, and RHS criteria, and provides...
Let's Tute
Heron's Formula - Perimeter
Did you know that we can calculate the area of triangle even without it's height? Heron from Alexandria, derived a formula to calculate the area of triangle by using only the sides of the triangle and by using the perimeter of the...
Brian McLogan
Understanding points and trigonometric functions in different quadrants
Understanding points and trigonometric functions in different quadrants
Brian McLogan
Sum and Difference Formula Evaluate with Right Triangles
Sum and Difference Formula Evaluate with Right Triangles
Brian McLogan
Master evaluating the six trig functions, given a triangle with a missing side
Master evaluating the six trig functions, given a triangle with a missing side
Brian McLogan
Master composing inverse trig functions using right triangles
Master composing inverse trig functions using right triangles
NASA
Hubble and Whale Sharks?
While you might not think that sharks and the Hubble Space Telescope have a lot in common, it turns out they share an incredible bond!
Music: βHappy Tulipβ by StΓ©phane Caisson [SACEM],...
Music: βHappy Tulipβ by StΓ©phane Caisson [SACEM],...
Brian McLogan
Learn where the formula for the Law of Sines comes from
π Learn how to solve for the length of the sides and the measures of the angles of a triangle using the law of sines. The law of sines is used in determining the length of the opposite side to a known angle measure or the measure of the...
Brian McLogan
Learn to determine when there is 1, 2 or no triangle
π 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
Applying the law of sines to solve a word problem
π Learn how to solve for the length of the sides and the measures of the angles of a triangle using the law of sines. The law of sines is used in determining the length of the opposite side to a known angle measure or the measure of the...
Brian McLogan
Master Determine if there is one, two or no triangles for SSA ambiguous case
Timestamps: 0:00 Intro 0:55 Example #1 (one triangle) 4:30 Example #2 (no triangle) 5:05 Example #3 (two triangles) Corrections: 3:58 I made a mistake, I replaced the side b=15 to the angle A. It should have been h = (15)(sin40); (h = 9.64)
Brian McLogan
Determine the values of two angles that lie on a lie with a third angle
π 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,...