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SohCahToa: Finding Side Lengths and Angles in Right Triangle Problems
This video is on calculating side lengths and angles using sine, cosine, and tangent ratios. The instructor emphasizes the importance of accurately labeling triangles with opposite, adjacent, and hypotenuse sides before selecting a ratio...
Brian McLogan
How to determine the excluded values of a complex fraction
How to determine the excluded values of a complex fraction
Brian McLogan
Be careful typing Law of Cosines in your calculator
Be careful typing Law of Cosines in your calculator
Brian McLogan
What are the important characteristics of the tangent curve
π 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
Finding the Amplitude and Period of a Trigonometric Graph
π 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...
Brian McLogan
Using difference of two angles with tangent to evaluate
π Learn how to evaluate the tangent of an angle in degrees 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...
Brian McLogan
Math tutorial for using the sum of two angles formula for the tangent of 105 degrees
π Learn how to evaluate the tangent of an angle in degrees 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...
Brian McLogan
Simplifying the quotient of two radical expressions
π Learn how to find the square root of rational expressions. To find the square root of a rational expression, we first express the rational expression as the square root of the numerator divided by the square root of the denominator....
Brian McLogan
What is the power of quotient property of exponents
π Learn about the rules of exponents. An exponent is a number which a number is raised to, to produce a power. It is the number of times which a number will multiply itself in a power. There are several rules used in evaluating...
Brian McLogan
Simplifying a radical expression by dividing and not rationalizing the denominator
π Learn how to find the square root of rational expressions. To find the square root of a rational expression, we first express the rational expression as the square root of the numerator divided by the square root of the denominator....
Brian McLogan
Simplify a rational expression with two variables
π Learn how to simplify expressions using the quotient rule of exponents. The quotient rule of exponents states that the quotient of powers with a common base is equivalent to the power with the common base and an exponent which is the...
Brian McLogan
Learn how to divide two rational monomials and simplify
π Learn how to simplify expressions by dividing its terms. Remember that dividing a fraction is the same as multiplying by the reciprocal. When multiplying expressions, each individual term of the expression is multiplied to its like...
Brian McLogan
Learn how to solve a quadratic equation by factoring when a is not equal to one
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...
Brian McLogan
How to use zero product property to solve a quadratic in factored form
πLearn 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...
Brian McLogan
How to use long division to divide two polynomials
π Learn how to divide polynomials by quadratic divisors using the long division algorithm. Before dividing a polynomial, it is usually important to arrange the divisor in the descending order of powers of the variable(s). To divide a...
Brian McLogan
How to divide polynomials using long division
π Learn how to divide polynomials using the long division algorithm. To be able to solve a polynomial, we need to be able to get the factors and hence the zeros. To get the factors, we use the rational zeros theorem to get one of the...
Brian McLogan
How to divide polynomials with a remainder long division
π Learn how to divide polynomials by binomial divisors using the long division algorithm. A binomial is an algebraic expression having two terms. Before dividing a polynomial, it is usually important to arrange the divisor in the...
Brian McLogan
Applying long division with a remainder
π Learn how to divide polynomials by binomial divisors using the long division algorithm. A binomial is an algebraic expression having two terms. Before dividing a polynomial, it is usually important to arrange the divisor in the...
Brian McLogan
Solve a quadratic equation by completing the square with imaginary solutions
π Learn how to solve quadratic equations by completing the square. When solving a quadratic equation by completing the square, we first take the constant term to the other side of the equation and create a perfect square trinomial with...
Brian McLogan
Learn how to find the sum of an infinite geometric series in summation notation
π Learn how to find the geometric sum of a series. A series is the sum of the terms of a sequence. A geometric series is the sum of the terms of a geometric sequence. The formula for the sum of n terms of a geometric sequence is given by...
Brian McLogan
How to use p over q to find the possible and all zeros
π Learn how to use the Rational Zero Test on Polynomial expression. Rational Zero Test or Rational Root test provide us with a list of all possible real Zeros in polynomial expression. Rational Zero Test can be helpful to find all the...
Brian McLogan
How to write the system of equations from a word problem
πLearn how to solve a system of linear equations from a word problem. A system of equations is a set of more than one equations which are to be solved simultaneously. A word problem is a real world simulation of a mathematical concept....
Curated Video
Comparing Fractions with the Same Numerator: Comparing Size
In this video, the teacher explains how to compare fractions with the same numerator by reasoning about their size. The lesson emphasizes the importance of considering the denominator and using fractional models to visualize the...
Brian McLogan
Learn how to solve a rational literal equation
π Learn how to solve literal equations. A literal equation is an equation where the unknown values are represented by variables. To solve a literal equation means to make one of the variables the subject of the formula. When the literal...