Brian McLogan
Composition of trig function and inverse trig function
👉 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
Evaluate the six trigonometric functions for the given real number
👉 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...
Brian McLogan
Learn the steps to convert rectangular points to polar
Learn the steps to convert rectangular points to polar
Brian McLogan
Find three different representations of a polar point
Find three different representations of a polar point
Brian McLogan
Evaluate the six trigonometric functions for the given real number
👉 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...
Brian McLogan
Evaluate the composition of trigonometric functions not on the unit circle
👉 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
Learn how to evaluate the six trig functions given an equation and constraint
👉 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...
Brian McLogan
How to memorize the unit circle
👉 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-...
Brian McLogan
How to find three different representations of a polar point
How to find three different representations of a polar point
Brian McLogan
Rewriting a number in radians in degrees using the conversion ratio
👉 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.
Brian McLogan
Use two triangles to evaluate the tangent sum formula
👉 Learn how to evaluate the secant of the sum or difference of two angles using the sum/difference formulas. To do this, we first use the Pythagoras theorem to obtain all the sides of the right triangle in the unit circle. Recall that...
Brian McLogan
How to apply the sum of angles with the sine of an angle not on unit circle
👉 Learn how to evaluate the secant of the sum or difference of two angles using the sum/difference formulas. To do this, we first use the Pythagoras theorem to obtain all the sides of the right triangle in the unit circle. Recall that...
Brian McLogan
Evaluate using the difference formula of two angles sine
👉 Learn all about sum and difference angle identities. In this video playlist, you will learn how to evaluate, solve, simplify and verify using sum and difference angle identities. We will evaluate using angles not found on the unit...
Brian McLogan
Evaluate the half angle for cosine from a triangle
👉 Learn how to evaluate the tangent of a half-angle. When given the value of the tangent of an angle, we can evaluate the tangent of half the angle using the tangent half-angle formula. When the value of any other trigonometric function...
Brian McLogan
Evaluate the half angle of tangent for 105 degrees
👉 Learn how to evaluate the Sine of an angle using the half-angle formula. The half-angle formula for Sine is helpful when you need to determine the exact value of function given an angle but cannot use a calculator or the angle is not...
Brian McLogan
Determining the triple angle of cosine to solve the equation
👉 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...
Brian McLogan
Learn how to find different representations of a polar point with a negative radius
Learn how to find different representations of a polar point with a negative radius
Curated Video
Understanding Rotations: Identifying and Rotating Figures in the Coordinate Plane
In this lesson on rotations, students will learn how to identify rotations and rotate figures in the coordinate plane. They will understand the vocabulary of transformations and how to tell when a transformation is a rotation. The lesson...
KnowMo
Reciprocal Graphs: Understanding the Basics
This video is a lecture presentation on reciprocal graphs. The presenter begins by explaining the concept of reciprocals and how they are used in various mathematical applications. He then focuses on the reciprocal of X and how it is...
Brian McLogan
What is the difference between angles in radians and in terms of pi
👉 Learn about the angles 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...
Brian McLogan
Find the reference angle of an angle in radians in the third quadrant
👉 Learn how to find the reference angle of a given angle. The reference angle is the acute angle formed by the terminal side of an angle and the x-axis. To find the reference angle, we determine the quadrant on which the given angle lies...
Brian McLogan
Tutorial - Given the Cosine of an Angle Determine the Double Angle for Sine, Cosine and Tangent
👉 Learn how to evaluate the double angle of sine. The value of the sine of double a given angle can be obtained given the value of the sine of the angle. The value of the sine of double a given angle is obtained using the formula sin(2u)...
Brian McLogan
Determine the point on the unit circle for an angle
👉 Learn how to find the point on the unit circle given the angle of the point. A unit circle is a circle whose radius is 1. Given an angle in radians, to find the coordinate of points on the unit circle made by the given angle with the...
Brian McLogan
Find the missing sides of a triangle given a 30 60 90 triangle
👉 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...