Instructional Video12:09
Brian McLogan

Learning the basics to graph the cosine function with its points

12th - Higher Ed
👉 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...
Instructional Video5:54
Brian McLogan

How to evaluate for cos without using a calculator or the unit circle

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 Video4:40
Brian McLogan

How to Find the Angle Given the Cosine Inverse of a Value on the Unit Circle

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 Video4:41
Brian McLogan

Finding the Inverse Sine of Radical Three Over Two

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 Video3:10
Brian McLogan

Learn how to evaluate the six trig functions given a coordinate point

12th - Higher Ed
👉 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...
Instructional Video1:38
Brian McLogan

Evaluating the composition of Functions

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 Video3:00
Brian McLogan

Evaluate the sine of inverse cosine - learn math online

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 Video0:56
Brian McLogan

Sketch the Angle in Standard Position

12th - Higher Ed
👉 Learn how to sketch angles in terms of pi. An angle is the figure formed by two rays sharing the same endpoint. Angle is measured in radians or in degrees. One complete revolution about a point is equivalent to 2pi radians and 360...
Instructional Video3:47
Brian McLogan

How to Find the Period and Amplititude of the Equation of Sine

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

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

12th - Higher Ed
👉 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...
Instructional Video4:54
Brian McLogan

Finding two coterminal angles by adding 2pi twice

12th - Higher Ed
👉 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...
Instructional Video7:19
Brian McLogan

Finding two coterminal angles both negative

12th - Higher Ed
👉 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...
Instructional Video3:29
Brian McLogan

Finding the complement and supplement of an angle in radians

12th - Higher Ed
👉 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...
Instructional Video1:08
Brian McLogan

Evaluate the sine of an angle using the unit circle

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 Video3:12
Brian McLogan

Evaluate for cosine of an angle on the unit circle larger than 2pi

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 Video6:26
Brian McLogan

Finding all of the solutions of cosine with a multiple angle

12th - Higher Ed
👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include by factoring out the GCF and simplifying the factored equation. Another method is to use a...
Instructional Video4:32
Brian McLogan

Verifying trigonometric Identities

12th - Higher Ed
👉 Learn how to verify trigonometric identities having rational expressions. To verify trigonometric expression means to verify that the term(s) on the left hand side of the equality sign is equal to the term(s) on the right hand side. To...
Instructional Video3:56
Brian McLogan

Verifying a trigonometric Identities

12th - Higher Ed
👉 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...
Instructional Video5:26
Brian McLogan

Multiply and use fundamental identities to simplify

12th - Higher Ed
👉 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...
Instructional Video4:52
Brian McLogan

Learn step by step to verify the identity

12th - Higher Ed
👉 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...
Instructional Video1:01
Brian McLogan

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

12th - Higher Ed
👉 Learn how to simplify basic trigonometric identities. To simplify basic trigonometric identities, it is usually more useful to convert all trigonometric functions to sine and cosine functions and then simplify. We will also explore the...
Instructional Video1:09
Brian McLogan

Simplifying a basic trigonometric expression

12th - Higher Ed
👉 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...
Instructional Video2:09
Brian McLogan

Multiply two binomials of trigonometric terms to simplify your expression

12th - Higher Ed
👉 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...
Instructional Video3:32
Brian McLogan

Learn how to verify an identity squaring a binomial

12th - Higher Ed
👉 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...