Brian McLogan
Finding two coterminal angles for a given angle by adding and subtracting
👉 Learn the basics of co-terminal angles. An angle is a figure formed by two rays that have a common endpoint. The two rays are called the sides of the angle while the common endpoint is called the vertex of the angle. We measure angles...
Brian McLogan
Find the Period, Amplitude, Phase Shift, Vertical Translation
👉 Learn how to graph a cosine function. To graph a cosine function, we first determine the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase shift (the horizontal shift from...
Brian McLogan
Evaluate functions using cofunction and trig identities
👉 Learn how to evaluate trigonometric functions using trigonometric identities. Trigonometric identities are equalities that involve trigonometric functions. We will focus on the cofunction identities and even-odd identities. The...
Brian McLogan
Evaluate for a point using your six trig functions
👉 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
Learn how to determine the sine cosine and tagent given a right triangle
👉 Learn how to evaluate the six trigonometric functions given a right triangle. A right triangle is a triangle with 90 degrees as one of its angles. A right triangle is made up of two legs, which formed the sides of the 90 degrees angle...
Brian McLogan
Learn to sketch the graph of a function and it's inverse given a table of values
👉 Learn how to find the inverse of a function. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the inverse of a function is that when the inverse of a function is...
Brian McLogan
Master Evaluating Sine and Cosine using Sum and Difference formulas
Master Evaluating Sine and Cosine using Sum and Difference formulas
Brian McLogan
Pre-Calculus - Simplify expressions using fundamental identities, tanx . cscx
In this video series I show you how to simplify trigonometric expressions by using identities. Trigonometric identities help us transform expressions so that we can simplify an expression to a singular term. We will apply reciprocal,...
Brian McLogan
Master Simplifying trigonometric expressions by using factoring
Master Simplifying trigonometric expressions by using factoring
Brian McLogan
Determine the complement and supplement of an angle
👉 Learn how to find the complement and the supplement of a given angle. Two angles are said to be complementary if they add up to 90 degrees (pi/2 in radians) and are said to be supplementary if they add up to 180 degrees (pi in...
Brian McLogan
Sketch a triangle given a trig angle then determine remaining trig functions of angle
👉 Learn how to evaluate the six trigonometric functions given the value of one of the trigonometric functions. When given the value of one of the trigonometric functions of an angle, we can evaluate the values of the other trigonometric...
Brian McLogan
Finding the Degree Measure of an Angle When Given the Trig Value
👉 Learn how to evaluate the inverse of reciprocal trigonometric functions. Recall that the reciprocal trigonometric functions are given by the ratio of 1 and the corresponding trigonometric function. When an angle is unknown but the...
Brian McLogan
Rewriting a number in DMS form to decimal form
👉 Learn how to convert angles from DMS forms to decimal forms. DMS means Degree, Minutes, and Seconds. Minutes is represented by a single apostrophe (') while seconds is represented with double apostrophe ("). 60 seconds = 1 minute and...
Brian McLogan
Learning to find the reference angle in the third quadrant
👉 Learn how to find the reference angle of a given angle. The reference angle is the acute angle formed by the terminal side of an angle and the x-axis. To find the reference angle, we determine the quadrant on which the given angle lies...
Brian McLogan
Learn how to evaluate and graph for the tangent of an angle
👉 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 use trig identities and cofunction to evaluate trig functions
👉 Learn how to evaluate trigonometric functions using trigonometric identities. Trigonometric identities are equalities that involve trigonometric functions. We will focus on the cofunction identities and even-odd identities. The...
Brian McLogan
How to use the unit circle to evaluate for cotangent when undefined
👉 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 evaluate for cosecant using even and odd properties
👉 Learn how to evaluate trigonometric functions using trigonometric identities. Trigonometric identities are equalities that involve trigonometric functions. We will focus on the cofunction identities and even-odd identities. The...
Brian McLogan
Graphing the Secant Function with a Change in Period and Reflection
👉 Learn how to graph a secant function. To graph a secant function, we start with the cosine graph by first determining the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase...
Brian McLogan
Find the coordinate point of the given angle
👉 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 a trigonometric angle when given in degrees minutes seconds
👉 Learn how to evaluate trigonometric functions using a calculator. To evaluate the trigonometric functions using a calculator, we just punch the necessary buttons on the calculator to obtain the result. While this may seem simple, most...
Brian McLogan
How to find all the solutions to a trigonometric equation
👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a...
Brian McLogan
Verifying trigonometric identities by multiplying two binomials
👉 Learn how to verify trigonometric identities by expanding the trigonometric expressions. When the given trigonometric expressions involve multiplications with more than one term in parenthesis, we start by expanding the expressions...
Brian McLogan
Learn how to verify a trigonometric function by combining two rational expressions
👉 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...