Instructional Video3:22
Brian McLogan

Evaluating trigonometric functions using the reference 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 Video8:24
Brian McLogan

Evaluate trig functions without using a calculator using cofunction identities

12th - Higher Ed
👉 Learn how to evaluate trigonometric functions using trigonometric identities. Trigonometric identities are equalities that involve trigonometric functions. We will focus on the cofunction identities and even-odd identities. The...
Instructional Video6:43
Brian McLogan

Math tutorial for using the sum of two angles formula of sine for 105 degrees

12th - Higher Ed
👉 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...
Instructional Video6:52
Brian McLogan

Evaluating for sine using the half angle formula

12th - Higher Ed
👉 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...
Instructional Video5:27
Brian McLogan

Verify trig identities with multiple 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 Video5:16
Brian McLogan

Solving an equation using the sum and difference formulas for cosine

12th - Higher Ed
👉 Learn how to solve equations using the angles sum and difference identities. Using the angles sum and difference identities, we are able to expand the trigonometric expressions, thereby obtaining the values of the non-variable terms....
Instructional Video4:18
Brian McLogan

How to verify a trig identity

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 Video3:55
Brian McLogan

Half angle of sine given right triangle and constraint

12th - Higher Ed
👉 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...
Instructional Video5:01
Brian McLogan

Evaluate the difference of two angles for sine

12th - Higher Ed
👉 Learn how to evaluate the sine 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 Video4:02
Brian McLogan

Applying factoring to simplify my trigonometric expression

12th - Higher Ed
👉 Learn how to simplify identities by factoring. Just like in normal algebraic expressions, trigonometric identities can be simplified by factoring out the GCFs from the terms of the identities, then common trigonometric identities like...
Instructional Video3:06
Brian McLogan

Simplify by combining two rational trigonometric expressions

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 Video2:58
Brian McLogan

Multiply and verify the trigonometric identity

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 Video2:20
Brian McLogan

Learn how to verify a trigonometric identity by distributive property

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 Video1:50
Brian McLogan

How to verify an identity by combining terms

12th - Higher Ed
👉 Learn how to verify trigonometric identities involving the addition and subtraction of terms. To do this it is usually useful to convert the addition or subtraction terms in terms of one trigonometric function and then evaluate....
Instructional Video3:27
Brian McLogan

How to evaluate the half angle of cosine when given a triangle

12th - Higher Ed
👉 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...
Instructional Video1:35
Brian McLogan

How to apply cofunction and even odd identities to divide two trig functions

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 Video2:57
Brian McLogan

How to evaluate sum of two angles using the sum formula for sine

12th - Higher Ed
👉 Learn how to evaluate the sine 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 Video1:10
Brian McLogan

Evaluate the double angle for cosine using a triangle

12th - Higher Ed
👉 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)...
Instructional Video5:23
Brian McLogan

Evaluate for sine cosine and tangent using reference angles

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 Video6:13
Brian McLogan

Find the exact value using difference formula of two angles with sine

12th - Higher Ed
👉 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...
Instructional Video1:24
Brian McLogan

How to create a triangle to evaluate the inverse trig function with x

12th - Higher Ed
How to create a triangle to evaluate the inverse trig function with x
Instructional Video5:51
Brian McLogan

Master Evaluating the double angle for Sine, Cosine and Tangent, given an angle and constraint ex 3

12th - Higher Ed
Master Evaluating the double angle for Sine, Cosine and Tangent, given an angle and constraint ex 3
Instructional Video8:14
Brian McLogan

Simplify 20 Basic Trigonometric Identities | Analytic Trigonometry | Skills Practice Worksheet

12th - Higher Ed
Simplify 20 Basic Trigonometric Identities | Analytic Trigonometry | Skills Practice Worksheet
Instructional Video1:26
Brian McLogan

Pre-Calculus - Simplify expressions using fundamental identities, sin(pi/2 - x)/cos(pi/2 - x)

12th - Higher Ed
In this video series I show you how to simplify trigonometric expressions by using identities. Trigonometric identities help us transform expressions so that we can simplify an expression to a singular term. We will apply reciprocal,...