Brian McLogan
Learn how to solve a trigonometric equation using sum and difference formulas
👉 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....
Brian McLogan
How to determine the half angle of tangent when given 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
Find the values a and b that make the piecewise function continuous
👉 Learn how to find the value that makes a function continuos. A function is said to be continous if two conditions are met. They are: the limit of the function exist and that the value of the function at the point of continuity is...
Brian McLogan
Evaluating using special trig limits
👉 Learn how to evaluate the limit of a function involving trigonometric expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time....
Brian McLogan
How to graph a linear inequality
👉 Learn how to graph linear inequalities. Linear inequalities are graphed the same way as linear equations, the only difference being that one side of the line that satisfies the inequality is shaded. Also broken line (dashes) is used...
Brian McLogan
What are the three most important secrets every math student must know
Learn math your way. My mission is to provide quality math education to everyone that is willing to receive it. This video is only a portion of a video course I have created as a math teacher. Please visit my website to join my mailing...
Brian McLogan
How to find x for a secant and a tangent line of a circle
Learn how to solve problems with secant lines. A secant line is a line that intersects a circle at exactly 2 points in contrast to a tangent line which is a line that touches a circle at exactly one point. When two secant lines...
Brian McLogan
How to maximize an objective function for linear programming
Learn how to solve problems using linear programming. A linear programming problem involves finding the maximum or minimum value of an equation, called the objective functions, subject to a system of inequalities, called the constraints....
Brian McLogan
Learn How To Determine the Unit Vector and It's Direction Given the Vector W
Learn how to determine the unit vector of a vector in the same direction. The unit vector is a vector that has a magnitude of 1. The unit vector is obtained by dividing the given vector by its magnitude.
Brian McLogan
Learn how to evaluate the left and right hand limits of a piecewise function with thre
👉 Learn how to evaluate the limit of a piecewice function. A piecewise function is a function that has different rules for a different range of values. The limit of a function as the input variable of the function tends to a number/value...
Brian McLogan
Learn how to add two vectors using the parallelogram method
Learn how to add/subtract vectors. Vectors can be added, subtracted and multiplied. To add or subtract two or more vectors, we simply add each of the corresponding components of the vectors.
Brian McLogan
Learn how to find the value a that makes the function continuous
👉 Learn how to find the value that makes a function continuos. A function is said to be continous if two conditions are met. They are: the limit of the function exist and that the value of the function at the point of continuity is...
Brian McLogan
How to use the chain rule with trigonometric functions
👉 Learn how to find the derivative of a function using the chain rule. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative...
Brian McLogan
Graphing a quadratic function in standard form
👉 Learn how to graph quadratics in standard form. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. To graph a quadratic equation, we make use of a table of values and the fact that the graph of a...
Brian McLogan
How to graph compound inequalities
👉 Learn all about solving and graphing compound inequalities. An inequality is a statement in which one value is not equal to the other value. A compound inequality is a type of inequality comprising of more than one inequalities. To...
Brian McLogan
Lines and a Transversal - How To Label Special Angle Relationships
👉 Learn how to identify angles from a figure. This video explains how to solve problems using angle relationships between parallel lines and transversal. We'll determine the solution given, corresponding, alternate interior and exterior....
Brian McLogan
How to write the domain in interval notation with a factored denominator
👉 Learn how to find the domain of rational functions. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero. Thus, to find the domain...
Brian McLogan
Evaluating the difference of two angles for the tangent function
👉 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
Learn How to Determine the Unit Vector and It's Direction Given the Vector W
Learn how to determine the unit vector of a vector in the same direction. The unit vector is a vector that has a magnitude of 1. The unit vector is obtained by dividing the given vector by its magnitude.
Brian McLogan
How to apply the dot product between two vectors
Learn how to determine the dot product of vectors. The dot product of two vectors also called the scalar product of the vectors is the sum of the product of the components of the vectors in each direction. When the magnitudes of the...
Brian McLogan
How to apply u substitution to radicals
👉 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 an indefinite integral or as a definite...
Brian McLogan
Reflecting a figure over a line of symmetry when it is on both sides
👉 Learn how to reflect points and a figure over a line of symmetry. Sometimes the line of symmetry will be a random line or it can be represented by the x or y-axis. Either way when reflecting a point and or figure over the line of...
Brian McLogan
How to reflect a polygon over a line
👉 Learn how to reflect points and a figure over a line of symmetry. Sometimes the line of symmetry will be a random line or it can be represented by the x or y-axis. Either way when reflecting a point and or figure over the line of...
Brian McLogan
Learn how to determine the slope between two points using slope formula
👉 Learn how to find the slope between two points. The slope of a line is the steepness of the line. The horizontal line has a zero slope while the vertical line has an undefined slope. To determine the slope of a line passing through two...