Brian McLogan
What are the sum and difference formulas for 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
VERIFY an expression by using the difference of two angles of sine
👉 Learn how to verify the sum and difference of two angles trigonometric identities using the sum/difference formulas. To verify an identity means to ascertain that the left-hand side is equal to the right-hand side of the equality sign....
Brian McLogan
How to Evaluate the tangent of double angle using the tangent double-angle formula
👉 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 for tangent using the half angle formula
👉 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
How to evaluate the addition of two functions
👉 Learn how to add or subtract two functions. Given two functions, say f(x) and g(x), to add (f+g)(x) or f(x) + g(x) or to subtract (f - g)(x) or f(x) - g(x) the two functions we use the method of adding/subtracting algebraic expressions...
Brian McLogan
Learn how to evaluate a function using an expression
👉 Learn how to evaluate a function and for any given value. For any function, f(x) x is called the input value or the argument of the function. To evaluate a function, all we have to do is to change the argument of the function from x to...
Brian McLogan
How to multiply 2 functions and determine the domain
👉 Learn how to multiply two functions. We will explore the multiplication of linear, quadratic, rational, and radical functions. To multiply two functions, we simply algebraically multiply the rules (contents) of the two functions. We...
Brian McLogan
Evaluating a Log with an Exponent Without a Calculator
👉 Learn how to evaluate basic logarithms. Recall that the logarithm of a number says a to the base of another number say b is a number say n which when raised as a power of b gives a. (i.e. log [base b] (a) = n means that b^n = a). Thus,...
Brian McLogan
How To Apply the Composition of a Quadratic and Linear Function
Learn how to compose two functions where one or both of those functions is/are quadratic. To compose two functions means to express one of the functions as a function of the other function. This is done by replacing the input variable of...
Brian McLogan
Finding Three consecutive even integers that equal a negative number - Online Tutor
👉 Learn how to solve equations from word problems. A word problem is a real word simulation of a mathematics principle. We can solve equation(s) from a word problems by first understanding what the problem is asking. We then assign...
Brian McLogan
Applying Descartes rule of signs with all positive terms
👉 Learn about Descartes' Rule of Signs. Descartes' rule of the sign is used to determine the number of positive and negative real zeros of a polynomial function. Knowing the number of positive and negative real zeros enables also to also...
Brian McLogan
Master Evaluating the inverse of trigonometric functions without a calculator
Master Evaluating the inverse of trigonometric functions without a calculator
Brian McLogan
Master Evaluating the half angle for sine, cosine, and tangent given a right triangle
Master Evaluating the half angle for sine, cosine, and tangent given a right triangle
Brian McLogan
4d Example 1 (Evaluate Trig Functions using intercepts of the unit circle)
4d Example 1 (Evaluate Trig Functions using intercepts of the unit circle)
Curated Video
Exploring the Division of Rational Numbers
Interpret the division of rational numbers as fractions.
Curated Video
Pythagorean Theorem and the Coordinate Plane
This video lesson will introduce how to find the distance in the Coordinate Plane using the Pythagorean Theorem.
Brian McLogan
Simplify an expression with exponents ex1, (2^4 - 1) / 5
👉 Learn how to simplify mathematics expressions. A mathematis expression is a finite combination of numbers and symbols formed following a set of operations or rules. To simplify a mathematics expression means to reduce the expression...
Brian McLogan
How to find the missing side of a right triangle given a 45 45 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...
Brian McLogan
Sketch a triangle given a trig angle then determine remaining trig functions of angle
👉 Learn how to evaluate the six trigonometric functions given the value of one of the trigonometric functions. When given the value of one of the trigonometric functions of an angle, we can evaluate the values of the other trigonometric...
Brian McLogan
How do you graph the cotangent function
👉 Learn the basics of graphing a tangent and a cotangent function. To plot the tangent and the cotangent graph we choose a set of points and form a table of values with which we plot the points on the x-y coordinate axis to obtain the...
Brian McLogan
How does domain restrictions affect the inverse of trig composition
👉 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 trig expression with inverse tan
👉 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 6 trig functions given a triangle 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
Evaluate for Theta Between 0 and 2pi ex 4, tanθ = 0
👉 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...