Brian McLogan
Using period as an aide to evaluate for secant when the angle falls on the x axis
๐ 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
Learn to Graph the Cotangent Function with a Change in Period
๐ Learn how to graph a cotangent function. To graph a cotangent 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...
Brian McLogan
Master Solving for all of the solutions for trigonometric equations
Master Solving for all of the solutions for trigonometric equations
Brian McLogan
Master Evaluating the half angle for sine, cosine, and tangent given an equation and constraint
Master Evaluating the half angle for sine, cosine, and tangent given an equation and constraint
Brian McLogan
Master given an equation and constraint, evaluate the six trig functions
Master given an equation and constraint, evaluate the six trig functions
Brian McLogan
Simplifying trig expressions by using the reciprocal identities
In this video series I will show you how to simplify trigonometric expressions. We will simplify these expression to either a single trigonometric term or number. To simplify we will use trigonometric identities such as Pythagorean,...
Brian McLogan
Verify Identities Compilation
๐Learn how to verify 13 different trigonometric identities in under 1minute for each example. Check out the timestamps to skip to the problem/s you want to see first. 00:57 sinฮธsecฮธcotฮธ=1 01:47 sinฮธ/cscฮธ=sin^2ฮธ 02:28...
Brian McLogan
36 Identities simplified using the product and quotient | Skills Practice Worksheet
In this video I will work on how to simplify trigonometric identities using the quotient identity, reciprocal identity, as well as how to multiply and divide. We will then simplify our expression to one single trigonometric function or...
Brian McLogan
How to multiply two trigonometric binomials using difference of two squares
๐ 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
How to multiply two binomials with trigonometric functions to simplify an expression
๐ 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
Solve trig equations with cotangent and sine
๐ Learn how to solve trigonometric equations using the zero product property. The zero product property states that when the product of two quantities is equal to 0, then either of the quantities is zero. When solving factored...
Brian McLogan
Learn How to Graph Cotangent
๐ Learn how to graph a cotangent function. To graph a cotangent 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...
Brian McLogan
How to evaluate for the composition of the tangent and cosine
๐ 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
How to find the ratio of csc, sec and cot for 30 degrees
๐ 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
How to Find the Angle when Given the Value of Cosine
๐ 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
How to find the angle given the inverse of tangent
๐ 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
Determine the quadrant and sketch the triangle
Determine the quadrant and sketch the triangle
Brian McLogan
Using coterminal angles to evaluate for sine
๐ 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
Identify the Reflections, Period and Domain of the Cotangent Function
๐ Learn how to graph a cotangent function. To graph a cotangent 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...
Brian McLogan
How to Find All of the Transformations for the Graph of Sine
๐ Learn how to graph a sine function. To graph a sine 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 the...
Brian McLogan
Evaluating the cotangent function using the first quadrant of the unit circle
๐ 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
Evaluate Sine given an angle where the terminal side is on the y axis
๐ 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
Verifying a trigonometric identity by multiplying by the reciprocal
๐ Learn how to verify trigonometric identities having rational expressions. 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 the right hand side. To...