Brian McLogan
Find the antiderivative using pythagorean trigonometric identities
👉 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
Why we avoid the law of sines over the law of cosines with ambiguous triangles
Why we avoid the law of sines over the law of cosines with ambiguous triangles
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...
Curated Video
Calculating Refractive Index and Angles of Incidence and Refraction
The video explains the concept of refractive index and how it determines the bending of light as it crosses the boundary between two different media. The video also demonstrates how to calculate the refractive index of a material, angle...
Brian McLogan
How to use the sine function to find the missing side of a 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...
KnowMo
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...
Curated Video
Trigonometry Basics: Using the Sine Rule for Non-Right Angle Triangles
The video is a lecture presentation on the sine rule, which is used to calculate missing side lengths and angles in non-right angle triangles. The presenter explains the three trigonometry ratios (sine Theta, Cos Theta, and tan Theta)...
Brian McLogan
Summary for graphing the cotangent and tangent functions
👉 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
Solve equation using the 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
Using coterminal angles to evaluate for the sine of an angle
👉 Learn how to evaluate trigonometric functions of a given angle. Given an angle greater than 2pi in radians, to evaluate the trigonometric functions of the given angle, we first determine the smallest positive coterminal angle of the...
Brian McLogan
Given an equation evaluate for the six trig functions using a right triangle
👉 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
Evaluate the inverse trig function in 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
What are the important characteristics of the tangent curve
👉 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
Rewriting a number in degrees in radians using the conversion ratio
👉 Learn all about angles of trigonometry. In this playlist, we will explore what makes up an angle and how to graph an angle in degrees or radians to determine the quadrant. We will then take a look at angle relationships such as...
Brian McLogan
Learn how to convert an angle in decimal form of degrees to radians
👉 Learn all about angles of trigonometry. In this playlist, we will explore what makes up an angle and how to graph an angle in degrees or radians to determine the quadrant. We will then take a look at angle relationships such as...
Brian McLogan
Finding the Amplitude and Period of a Trigonometric Graph
👉 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
Find the reference angle and sketch both angles in standard position
👉 Learn how to sketch angles in terms of pi. An angle is the figure formed by two rays sharing the same endpoint. Angle is measured in radians or in degrees. One complete revolution about a point is equivalent to 2pi radians and 360...
Brian McLogan
Evaluate sine cosine and tangent for a point on the unit circle
👉 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
Evaluate for sine, cosine and tangent of an angle using the unit circle
👉 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
Simplifying a trigonometric expression by getting common denominators
👉 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
Verifying a trigonometric identity in multiple ways
👉 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....
Brian McLogan
Verifying a trigonometric Identities
👉 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....
Brian McLogan
Using the addition of two angles formula and sine
👉 Learn how to evaluate the sine of an angle in radians 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
Tutorial for 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...