Brian McLogan
What is a radian and how does it compare to degree measure
👉 Learn about angles in trigonometry. An angle is the figure formed by two rays sharing the same endpoint. The two rays are called the sides of the angle while the common endpoint of the two rays is called the vertex of the angle. Angle...
Brian McLogan
What do I have to know to graph the tangent and 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
Evaluate the six trigonometric functions for the given real number
👉 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...
Brian McLogan
Verify an identity by converting to a monomial denominator
👉 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...
Brian McLogan
Learn how to evaluate the three trig functions given a trig equation and constraint
👉 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
Learn how to evaluate the six trig functions given an equation 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
Master Verifying trigonometric identities with rational expressions
Master Verifying trigonometric identities with rational expressions
Brian McLogan
Rewriting a number in radians in degrees using the conversion ratio
👉 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.
Brian McLogan
Evaluate for your six trig functions given an angle on the x axis
👉 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...
Brian McLogan
What is sohcahtoa
👉 Learn all about the trigonometry of right triangles. A right triangle is a triangle that has 90 degrees as one of its angles. The trigonometric identities of right triangles give us the relationship between the angles of a right...
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 to evaluate your six trig terms for an angle
👉 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...
Brian McLogan
Multiply and simplify fractions using trigonometric identities
Multiply and simplify fractions using trigonometric identities
Brian McLogan
Understand where even and odd identities come from
👉 Learn all about the different trigonometric identities and how they can be used to evaluate, verify, simplify and solve trigonometric equations. The identities discussed in this playlist will involve the quotient, reciprocal,...
Brian McLogan
Subtracting a rational trigonometric expression from another
👉 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...
Brian McLogan
Given any point evaluate your six trig functions
👉 Learn all about evaluating trigonometric functions with triangles. In this playlist, we will learn how to evaluate, sine, cosine, tangent, cotangent, secant, and cosecant when given the sides of a triangle. If we have missing sides we...
Brian McLogan
Find the missing sides of a triangle given a 30 60 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
How to find the range of the sine and cosine graph
👉 Learn the basics to graphing sine and cosine functions. The sine graph is a sinusiodal graph with x-intercepts at x = 2n*pi, maximun value of 1 at x = pi/2 + 2n*pi and minimum value of -1 at x = -pi/2 + 2n*pi. The cosine graph is a...
Brian McLogan
How to verify a trigonometric identity
👉 Learn how to verify trigonometric identities by expanding the trigonometric expressions. When the given trigonometric expressions involve multiplications with more than one term in parenthesis, we start by expanding the expressions...
Brian McLogan
Verifying a trigonometric Identities
👉 Learn how to verify Pythagoras trigonometric identities. A Pythagoras trigonometric identity is a trigonometric identity of the form sin^2 (x) + cos^2 (x) or any of its derivations. To verify trigonometric expression means to verify...
Brian McLogan
Master Writing a single trigonometric expression using sum and difference formulas
Master Writing a single trigonometric expression using sum and difference formulas
Brian McLogan
Verifying a trigonometric identity
👉 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...
Brian McLogan
Verify the identity with co function and even odd identities
👉 Learn how to verify trigonometric identities having rational expressions. To verify trigonometric expression means to verify that the term on the left hand side of the equality sign is equal to the term on the right hand side. To...
Brian McLogan
How to take the integral of a trigonometric expression
👉 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...