Instructional Video0:45
Brian McLogan

Rewriting a logarithmic equation with a fraction in front

12th - Higher Ed
πŸ‘‰ Learn how to condense logarithmic expressions using the power rule. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions...
Instructional Video0:55
Brian McLogan

Is the function even or odd? from a graph

12th - Higher Ed
Is the function even or odd? from a graph
Instructional Video10:42
Brian McLogan

Graphing a Cosine Function with a Horizontal Translation

12th - Higher Ed
πŸ‘‰ Learn how to graph a cosine function. To graph a cosine function, we first determine the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase shift (the horizontal shift from...
Instructional Video1:46
Brian McLogan

Evaluating Inverse Trigonometric Functions

12th - Higher Ed
πŸ‘‰ 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 Video2:23
Brian McLogan

Why does inverse trig functions have restrictions Function explanation

12th - Higher Ed
πŸ‘‰ Learn how to evaluate inverse trigonometric functions. The inverse trigonometric functions are used to obtain theta, the angle which yielded the trigonometric function value. It is usually helpful to use the calculator to calculate the...
Instructional Video4:19
Brian McLogan

Given the length of the transverse axis, and foci, write the equation of a hyperbola

12th - Higher Ed
Learn how to write the equation of hyperbolas given the characteristics of the hyperbolas. The standard form of the equation of a hyperbola is of the form: (x - h)^2 / a^2 - (y - k)^2 / b^2 = 1 for horizontal hyperbola or (y - k)^2 / a^2...
Instructional Video1:25
Brian McLogan

Using the conversion ratio to convert an angle from radians to degrees

12th - Higher Ed
πŸ‘‰ 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 Video1:55
Brian McLogan

Learn to find the reference angle of a negative angle in terms of pi

12th - Higher Ed
πŸ‘‰ 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 Video0:48
Brian McLogan

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

12th - Higher Ed
πŸ‘‰ 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 Video3:44
Brian McLogan

Find a positive and negative coterminal angle for angle on the y axis

12th - Higher Ed
πŸ‘‰ Learn the basics of co-terminal angles. 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. We measure angles...
Instructional Video3:33
Brian McLogan

Evaluating the six trig functions for an angle in sixths

12th - Higher Ed
πŸ‘‰ 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 Video4:26
Brian McLogan

Evaluate the six trigonometric functions for the given real number

12th - Higher Ed
πŸ‘‰ 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 Video0:37
Brian McLogan

Evaluate the six trigonometric functions for the given real number

12th - Higher Ed
πŸ‘‰ 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 Video4:50
Brian McLogan

Evaluate the 6 trig functions using the unit circle

12th - Higher Ed
πŸ‘‰ 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 Video4:35
Brian McLogan

Subtracting two rational trig expression to simplify

12th - Higher Ed
πŸ‘‰ 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 Video4:30
Brian McLogan

Double angle of cosine using right triangle

12th - Higher Ed
πŸ‘‰ 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 Video4:16
Brian McLogan

Adding and simplifying two trigonometric fractions

12th - Higher Ed
πŸ‘‰ 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 Video8:24
Brian McLogan

How to find the missing parts of a triangle using law of sines SSA One Triangle

12th - Higher Ed
πŸ‘‰ 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 Video4:39
Brian McLogan

Adding and subtracting radical terms

12th - Higher Ed
πŸ‘‰ Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract...
Instructional Video1:41
Brian McLogan

Using the zero product property to solve

12th - Higher Ed
πŸ‘‰Learn how to solve a quadratic equation using the zero product property. When a quadratic equation has been factored or is given in factored form, we can solve the quadratic equation by applying the zero product property. The zero...
Instructional Video3:30
Brian McLogan

Solving a quadratic by solving using the difference of two squares

12th - Higher Ed
πŸ‘‰Learn how to solve quadratic equations by factoring the difference of two squares. We can identify the difference of two squares but looking for binomials that have square terms. Difference of two square quadratic equations is of the...
Instructional Video3:15
Brian McLogan

Solve by factoring when a=1

12th - Higher Ed
πŸ‘‰Learn how to solve quadratic equations by factoring when a is equal to 1. A quadratic is an algebraic expression having 2 as the highest power of its variable(s). To factor an algebraic expression means to break it up into factors...
Instructional Video2:04
Brian McLogan

How to solve a quadratic using the difference of two squares

12th - Higher Ed
πŸ‘‰Learn how to solve quadratic equations by factoring the difference of two squares. We can identify the difference of two squares but looking for binomials that have square terms. Difference of two square quadratic equations is of the...
Instructional Video1:38
Brian McLogan

Factoring out a GCF then factoring using various methods

12th - Higher Ed
we find two factors of the product of the constant term (the term with no variable) and the coefficient of the squared variable whose sum gives the linear term. These factors are now placed in separate brackets with x to form the factors...