Instructional Video6:00
Curated Video

Trigonometry and the Unit Circle

K - 8th
This video will explain trigonometric functions and how to use them with the unit circle.
Instructional Video4:52
Brian McLogan

When given a point, how to find the triangle to evaluate for the 6 trig functions

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 Video4:22
Brian McLogan

Given a point learn how to evaluate the six trig functions with reference 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 Video6:58
Brian McLogan

Verifying a trigonometric identity with multiple steps

12th - Higher Ed
👉 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...
Instructional Video6:05
Brian McLogan

What is a radian and how does it compare to degree measure

12th - Higher Ed
👉 Learn about angles in trigonometry. An angle is the figure formed by two rays sharing the same endpoint. The two rays are called the sides of the angle while the common endpoint of the two rays is called the vertex of the angle. Angle...
Instructional Video1:36
Brian McLogan

Find the missing sides of a triangle given a 30 60 90 triangle

12th - Higher Ed
👉 Learn about the special right triangles. A special right triangle is a right triangle having angles of 30, 60, 90, or 45, 45, 90. Knowledge of the ratio of the length of sides of a special right triangle enables us to solve for any...
Instructional Video1:54
Brian McLogan

When given the radius and angle, learn how to find the arc length

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 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 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 Video2:46
Brian McLogan

What is the formula for arc length with radius and theta

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 Video0:48
Brian McLogan

Learn how to find the missing angle measure given arc length and radius

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 Video0:37
Brian McLogan

Evaluate the six trigonometric functions for the given real number

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 Video0:59
Brian McLogan

Rewriting a number in degrees in radians using the conversion ratio

12th - Higher Ed
👉 Learn all about angles of trigonometry. In this playlist, we will explore what makes up an angle and how to graph an angle in degrees or radians to determine the quadrant. We will then take a look at angle relationships such as...
Instructional Video0:50
Brian McLogan

Pre-Calculus - Finding the missing sides of a 45 45 90 triangle using special relationships

12th - Higher Ed
👉 Learn about the special right triangles. A special right triangle is a right triangle having angles of 30, 60, 90, or 45, 45, 90. Knowledge of the ratio of the length of sides of a special right triangle enables us to solve for any...
Instructional Video2:51
Brian McLogan

How to find the perimeter of a sector using arc length 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 Video3:59
Brian McLogan

Math tutorial for converting an angle from decimal form to DMS form

12th - Higher Ed
👉 Learn how to convert angles from decimal forms to DMS 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...
Instructional Video2:15
Brian McLogan

How to find the missing arc length given the radius and theta

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 Video1:05
Brian McLogan

How to write the radian measure of an angle in degrees

12th - Higher Ed
👉 Learn how to convert angles from radians to degrees. Recall that pi radians is equivalent to 180 degrees. Thus, when given an angle in radians, to convert the angle to degrees we multiply the given angle radians by the ratio 180/pi.
Instructional Video4:40
Brian McLogan

Learn how to find the six trig functions given a point and using reference angles

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 Video4:10
Brian McLogan

How to evaluate for secant of a negative 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 Video1:18
Brian McLogan

Math tutorial for converting an angle from radians to degrees

12th - Higher Ed
👉 Learn how to convert angles from radians to degrees. Recall that pi radians is equivalent to 180 degrees. Thus, when given an angle in radians, to convert the angle to degrees we multiply the given angle radians by the ratio 180/pi.
Instructional Video4:51
Brian McLogan

How to use reference angles to help evaluate for an angle

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 Video2:36
Brian McLogan

Learn how to evaluate for the secant of a negative 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...