Brian McLogan
Solve trigonometric equation by factoring with sine and cosine
π Learn how to solve trigonometric equations by factoring out the GCF. When solving trigonometric equations involving the multiples of the same trigonometric function. It is very useful to collect similar trigonometric functions together...
Brian McLogan
Sum formula for tangent of an angle trigonometry
π 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
Exam Review Composition of trig function and inverse using x
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 Evaluating the composition of two trig function using the inverse and triangles ex 1
MASTER Evaluating the composition of two trig function using the inverse and triangles ex 1
Brian McLogan
Evaluate Inverse Trig Functions - Step by Step
πLearn how to evaluate inverse trigonometric functions and understand why we have to apply restriction.
Brian McLogan
Graph Reciprocal Trig Functions | Trigonometry | Pre-Calculus
In this video we will explore how to graph the reciprocal function. We will do this by exploring the characteristics of cosecant, secant and cotagent to comparing them to the reciprocal functions, sine, cosine and tangent. We will then...
Brian McLogan
What is the definition of a reference angle and how do I use it
π Learn about angles in trigonometry. An angle is the figure formed by two rays sharing the same endpoint. The two rays are called the sides of the angle while the common endpoint of the two rays is called the vertex of the angle. Angle...
Brian McLogan
What are the angles of the unit circle in degrees
π Learn about the angles on 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...
Brian McLogan
Pre-Calculus - Using Double Angle Formulas to Help Solve for Solutions to an Equation
π Learn how to use the double angle identities to solve trigonometric equations. When we have equations with a double angle we will apply the identities to create an equation that can help solve by inverse operations or factoring. We...
Brian McLogan
Evaluate the difference for two angles for sine from a triangle
Learn how to evaluate the sine 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
Evaluate the six trigonometric functions for the given real number
π Learn how to evaluate the six trigonometric functions of a given angle. When given an angle we locate the angle on the unit circle. Then using the coordinate of the terminal side of the angle on the unit circle and the definitions of...
Brian McLogan
Given a point find the six trigonometric functions of the angle
π 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...
Brian McLogan
Evaluating the composition of inverse functions using triangles
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 your six trigonometric functions when given a point not on the unit circle
In this video series I show you how to evaluate your trigonometric functions for any angle. When we have a point that is not on the unit circle we create a triangle to help us evaluate our trig functions and then create a right triangle...
Brian McLogan
The intro to the trig functions for points on the unit circle
π Learn about the points on 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...
Brian McLogan
Important parts of a trigonometric function
π Learn the basics of graphing trigonometric functions. The graphs of trigonometric functions are cyclical graphs which repeats itself for every period. To graph the parent graph of a trigonometric function, we first identify the...
Brian McLogan
Learn how to evaluate for an angle by sketching the angle and using reference angles
π Learn how to evaluate the six trigonometric functions of a given angle. When given an angle we locate the angle on the unit circle. Then using the coordinate of the terminal side of the angle on the unit circle and the definitions of...
Brian McLogan
What is the trigonometric graph of cosine
π 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...
Brian McLogan
Learn how to use period as an aide to evaluate sine for a negative angle
π 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
How to find the arc length of a circle using the formula
π Learn how to solve problems with arc lengths. You will learn how to find the arc length of a sector, the angle of a sector, or the radius of a circle. An arc of a circle is the curve between a pair of points on the circumference of the...
Brian McLogan
Evaluating for all six trig functions for a point on the unit circle
π Learn how to evaluate the six trigonometric functions of a given angle. When given an angle we locate the angle on the unit circle. Then using the coordinate of the terminal side of the angle on the unit circle and the definitions of...
Brian McLogan
Find the coordinate point of the given angle
π Learn how to find the point on the unit circle given the angle of the point. A unit circle is a circle whose radius is 1. Given an angle in radians, to find the coordinate of points on the unit circle made by the given angle with the...
Brian McLogan
Evaluate cosine sum and difference formula
π Learn how to evaluate the cosine 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...
Brian McLogan
Solving for cosine by factoring
π Learn how to solve trigonometric equations by factoring out the GCF. When solving trigonometric equations involving the multiples of the same trigonometric function. It is very useful to collect similar trigonometric functions together...