Instructional Video1:25
Brian McLogan

Use cofunction identities and trig identities to find indicated trig functions

12th - Higher Ed
👉 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...
Instructional Video6:30
Brian McLogan

Graphing the Cosine Function with a Phase Shift

12th - Higher Ed
👉 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...
Instructional Video4:25
Brian McLogan

Evaluate your six trig functions for a point on the unit circle

12th - Higher Ed
👉 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...
Instructional Video7:07
Brian McLogan

Why the unit circle is so helpful for us to evaluate trig functions

12th - Higher Ed
👉 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-...
Instructional Video7:07
Brian McLogan

Learn How to Graph Cosine with a Vertical Translation

12th - Higher Ed
👉 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...
Instructional Video2:42
Brian McLogan

Evaluating the composition of Functions using Right Triangles

12th - Higher Ed
👉 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,...
Instructional Video1:31
Brian McLogan

Evaluating inverses composition of cosine

12th - Higher Ed
👉 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,...
Instructional Video1:29
Brian McLogan

Use cofunction identities and trig identities to find the indicated trig functions

12th - Higher Ed
👉 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...
Instructional Video4:40
Brian McLogan

Period as an aide with negative angles

12th - Higher Ed
👉 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...
Instructional Video2:46
Brian McLogan

Learn How to Find the Amplitude, Period, Phase Shift and Vertical Translation of Cosine

12th - Higher Ed
👉 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...
Instructional Video3:22
Brian McLogan

Evaluating trigonometric functions using the reference angle

12th - Higher Ed
👉 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...
Instructional Video1:35
Brian McLogan

How to apply cofunction and even odd identities to divide two trig functions

12th - Higher Ed
👉 Learn how to verify trigonometric identities having rational expressions. To verify trigonometric expression means to verify that the terms on the left-hand side of the equality sign is equal to the terms on the right-hand side. To...
Instructional Video4:59
Brian McLogan

Graphing the Sine Curve with a Period Shift

12th - Higher Ed
👉 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...
Instructional Video2:25
Brian McLogan

Evaluate the cosine of an angle using period as an aide

12th - Higher Ed
👉 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...
Instructional Video2:05
Brian McLogan

Find the missing length of a triangle using trig functions without a calculator

12th - Higher Ed
Find the missing length of a triangle using trig functions without a calculator
Instructional Video8:24
Brian McLogan

What Does the Inverse Graph of Sine Look Like

12th - Higher Ed
👉 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...
Instructional Video4:12
Brian McLogan

Learning to Find the Angle Given the Inverse Sine of a Value

12th - Higher Ed
👉 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...
Instructional Video2:26
Brian McLogan

Evaluate the cosine of inverse tangent - free online tutoring

12th - Higher Ed
👉 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,...
Instructional Video0:49
Brian McLogan

What coordinates signs in each quadrant

12th - Higher Ed
👉 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...
Instructional Video7:28
Brian McLogan

Evalute your trig functions of a triangle

12th - Higher Ed
👉 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...
Instructional Video6:39
Brian McLogan

Using period as an aide with periodic functions

12th - Higher Ed
👉 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...
Instructional Video7:44
Brian McLogan

How to evaluate a function for a point on a graph

12th - Higher Ed
👉 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...
Instructional Video9:54
Brian McLogan

Graphing Cosine with a Horizontal Shift and Multiple Transformations

12th - Higher Ed
👉 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...
Instructional Video3:52
Brian McLogan

Given an angle and constraint find the six trig functions of the angle

12th - Higher Ed
👉 Learn how to evaluate the six trigonometric functions given some constraints. When given the value of one trigonometric function, we can use a right triangle with one of its legs on the x-axis and the other leg, perpendicular to the...