Instructional Video4:22
Brian McLogan

How do you find the amplitude of the sine and cosine graph

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 Video7:32
Brian McLogan

Solving trigonometric equations

12th - Higher Ed
👉 Learn how to solve trigonometric equations using the zero product property. The zero product property states that when the product of two quantities is equal to 0, then either of the quantities is zero. When solving factored...
Instructional Video3:56
Brian McLogan

Subtracting a rational trigonometric expression from another

12th - Higher Ed
👉 Learn how to simplify rational identities involving addition and subtraction. To simplify rational identities involving addition and subtraction, first, we find the LCM of the denominators which most time is the product of the terms in...
Instructional Video4:38
Brian McLogan

Learn how to solve trigonometric equation with cosine on both sides

12th - Higher Ed
👉 Learn how to solve trigonometric equations by factoring out the GCF. When solving trigonometric equations involving the multiples of the same trigonometric function. It is very useful to collect similar trigonometric functions together...
Instructional Video4:37
Brian McLogan

Solving trigonometric equation by using reciprocal function

12th - Higher Ed
👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric identities, they include by factoring out the GCF and simplifying the factored equation. Another method is to use a...
Instructional Video3:38
Brian McLogan

Find the solutions to a trig equation between 0 and 2pi

12th - Higher Ed
👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric identities, they include by factoring out the GCF and simplifying the factored equation. Another method is to use a...
Instructional Video5:54
Brian McLogan

Determine 1, 2, or no triangles law of sines

12th - Higher Ed
👉 Learn how to determine if a given SSA triangle has 1, 2 or no possible triangles. Given two adjacent side lengths and an angle opposite one of them (SSA or ASS), then there are 3 possible cases: there can be 1 solution, 2 solutions,...
Instructional Video2:07
Brian McLogan

Evaluating the integral with trig tangent

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 indefinite integral or as a definite...
Instructional Video2:26
Brian McLogan

Determine the point on the unit circle for an angle

12th - Higher Ed
👉 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...
Instructional Video2:33
Brian McLogan

How to determine where the adjacent leg is on a triangle

12th - Higher Ed
👉 Learn all about the trigonometry of right triangles. A right triangle is a triangle that has 90 degrees as one of its angles. The trigonometric identities of right triangles give us the relationship between the angles of a right...
Instructional Video1:32
Brian McLogan

Learn how to use cosine to find the missing side of a right triangle

12th - Higher Ed
👉 Learn how to find a missing side length of a right triangle. A right triangle is a triangle that has 90 degrees as one of its angles. The trigonometric identities of right triangles give us the relationship between the angles of a...
Instructional Video1:31
Brian McLogan

How can you remember the three trigonometric ratios sohcahtoa

12th - Higher Ed
👉 Learn all about the trigonometry of right triangles. A right triangle is a triangle that has 90 degrees as one of its angles. The trigonometric identities of right triangles give us the relationship between the angles of a right...
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 Video7:34
Brian McLogan

How does phase shift affect your graph

12th - Higher Ed
👉 Learn the basics of graphing trigonometric functions. The graphs of trigonometric functions are cyclical graphs which repeats itself for every period. To graph the parent graph of a trigonometric function, we first identify the...
Instructional Video2:51
Brian McLogan

Using special right triangles and trig to find the value of sind 30 degrees

12th - Higher Ed
👉 Learn how to evaluate trigonometric functions using the special right triangles. A right triangle is a triangle with 90 degrees as one of its angles. A special right triangle is a right triangle with the angles 30, 60, 90 degrees or...
Instructional Video1:39
Brian McLogan

How to evaluate the composition of inverse 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 Video2:11
Brian McLogan

Evaluate for Theta Between 0 and 2pi, Secθ = -1

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 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 Video1:57
Brian McLogan

Learn how to determine the reference angle of an angle in terms of pi

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

Find the reference angle of a negative angle

12th - Higher Ed
👉 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...
Instructional Video2:03
Brian McLogan

Evaluate the cosecant function with a calculator

12th - Higher Ed
👉 Learn how to evaluate trigonometric functions using a calculator. To evaluate the trigonometric functions using a calculator, we just punch the necessary buttons on the calculator to obtain the result. While this may seem simple, most...
Instructional Video3:23
Brian McLogan

Determine two coterminal angles positive and negative

12th - Higher Ed
👉 Learn how to determine co-terminal angles given one angle. 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....
Instructional Video2:15
Brian McLogan

Verifying a trigonometric Identities

12th - Higher Ed
👉 Learn how to verify Pythagoras trigonometric identities. A Pythagoras trigonometric identity is a trigonometric identity of the form sin^2 (x) + cos^2 (x) or any of its derivations. To verify trigonometric expression means to verify...
Instructional Video3:25
Brian McLogan

Solve trigonometric equation by factoring with sine and cosine

12th - Higher Ed
👉 Learn how to solve trigonometric equations by factoring out the GCF. When solving trigonometric equations involving the multiples of the same trigonometric function. It is very useful to collect similar trigonometric functions together...