👉 Learn how to understand the concept of fractions using parts of a whole. Fractions are parts of a whole and this concept can be illustrated using bars and circles. This concept can also be extended to understand equivalent fractions....

👉 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,...

👉 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...

👉 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...

👉 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...

👉 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....

👉 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...

👉 Learn how to solve for the length of the sides and the measures of the angles of a triangle using the law of sines. The law of sines is used in determining the length of the opposite side to a known angle measure or the measure of the...

👉 Learn how to simplify the square root of an expression. The square root of an expression is an expression which will multiply itself twice to give the original expression. To simplify the square root of an expression, we...

👉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...

👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...

👉Learn how to solve a quadratic equation by factoring a perfect square trinomial. A perfect square trinomial quadratic equation is of the form y = x^2 +2cx + c^2, where c is a perfet square. There are couple of ways we can solve a...

👉Learn how to solve a quadratic equation by factoring out the GCF. When factoring out the GCF from an equation we will be looking for what the terms have in common. This method is very useful for quadratic equations that does not have...

👉 Learn how to classify polynomials based on the number of terms as well as the leading coefficient and the degree. When we are classifying polynomials by the number of terms we will focus on monomials, binomials, and trinomials, whereas...

👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To...

4f Example 1 Part1 (How to graph the Cosecant Function)

👉 Learn how to factor polynomials. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. To factor an algebraic expression means to break it up...

👉 Learn about dividing by synthetic division when the divisor is a fraction. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for...

👉 Learn how to find the sum of a series using sigma notation. A series is the sum of the terms of a sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is the first term, n...

👉 Learn how to determine the end behavior of the graph of a polynomial function. To do this we will first need to make sure we have the polynomial in standard form with descending powers. We will then identify the leading terms so that...

👉 Learn about dividing by synthetic division. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for the variable, the solution for...

👉 Learn how to write the equation of a parabola given three points. The equation of a parabola is of the form f(x) = ax^2 + bx + c, where a, b and c are constants. Since, the equation of a parabola has 3 constants, three equations and...

Learn how to determine the domain and range of a function given the graph of the function. Since the domain of a function is the set of all x-values we will want to identify how far left the graph goes as well as how far right to...

Learn how to add and/or subtract rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. When adding or subtracting rational...