Instructional Video2:00
Brian McLogan

What do I need to know to verify trigonometric Identities

12th - Higher Ed
👉 Learn all about the different trigonometric identities and how they can be used to evaluate, verify, simplify and solve trigonometric equations. The identities discussed in this playlist will involve the quotient, reciprocal,...
Instructional Video5:13
Brian McLogan

Verifying an identity by multiplying

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 Video4:21
Brian McLogan

Verify the identity with co function and even odd identities

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 Video2:37
Brian McLogan

Use pythagorean identities and reciprocal identities to simplify a trig expression

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 Video2:13
Brian McLogan

Simplify expressions using fundamental identities

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 Video0:55
Brian McLogan

Multiply two trig functions using co function and even odd identities

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 Video1:07
Brian McLogan

How to take the integral of a trigonometric expression

12th - Higher Ed
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite...
Instructional Video6:12
Brian McLogan

Word problem find the distance between two towns with trig

12th - Higher Ed
👉 Learn how to solve the word problems with trigonometry. Word problems involving angles, including but not limited to: bearings, angle of elevations and depressions, triangles problems etc are solved using trigonometry. To be able to...
Instructional Video5:40
Brian McLogan

Given a point find the six trigonometric functions of the angle

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 Video5:29
Brian McLogan

Finding the distance of an antenna using trigonometry of two triangles

12th - Higher Ed
👉 Learn how to solve the word problems with trigonometry. Word problems involving angles, including but not limited to: bearings, angle of elevations and depressions, triangles problems etc are solved using trigonometry. To be able to...
Instructional Video3:36
Brian McLogan

Evaluating six trigonometric functions of a right triangle

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

Evaluate your six trigonometric functions when given a point not on the unit circle

12th - Higher Ed
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...
Instructional Video11:18
Brian McLogan

The intro to the trig functions for points on the unit circle

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 Video1:12
Brian McLogan

How to determine the angle of an inscribed angle of a tangent and secant line

12th - Higher Ed
Learn how to solve problems with secant lines. A secant line is a line that intersects a circle at exactly 2 points in contrast to a tangent line which is a line that touches a circle at exactly one point. When two secant lines...
Instructional Video6:23
Brian McLogan

Learn how to evaluate for an angle by sketching the angle and using reference angles

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 Video6:46
Brian McLogan

How to Graph Tangent with a Horizontal Shift to the Right

12th - Higher Ed
👉 Learn all about graphing trigonometric functions. In this playlist, we will explore how to graph the sine, cosine, tangent, cotangent, cosecant and secant function. We will explore the characteristics of each graph as well as how to...
Instructional Video2:56
Brian McLogan

Learn how to use period as an aide to evaluate sine for a negative 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 Video2:13
Brian McLogan

How to find the arc length of a circle using the formula

12th - Higher Ed
👉 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...
Instructional Video8:28
Brian McLogan

Graphing Tangent with a Period Change

12th - Higher Ed
👉 Learn how to graph a tangent function. To graph a tangent 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 (the...
Instructional Video9:01
Brian McLogan

Evaluating for all 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 Video1:48
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 Video2:49
Brian McLogan

Multiply and the then simplify two trig functions

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 Video1:54
Brian McLogan

Given an expression determine the function and angle

12th - Higher Ed
👉 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...
Instructional Video4:30
Brian McLogan

Evaluate the sum of two angles using the tangent formula, tan

12th - Higher Ed
👉 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...