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Curated Video
Thermal Properties of Water: Specific Heat Capacity Experiment
This video is a lecture presentation on the thermal properties of water. The presenter discusses the specific heat capacity of water and how to calculate it using an equation. A student then demonstrates an experiment to determine the...
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
How to use your trig functions to evaluate using the sides of a triangle
👉 Learn how to evaluate the six trigonometric functions given a right triangle. A right triangle is a triangle with 90 degrees as one of its angles. A right triangle is made up of two legs, which formed the sides of the 90 degrees angle...
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
How to evaluate trig functions with 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
What are acute and obtuse angles
👉 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
Given the radius and angle in degrees find the arc length
👉 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...
Brian McLogan
Verifying an identity by using the quotient and reciprocal 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
Simplifying an expression using the sum of two angles for cosine
👉 Learn how to evaluate the cosine 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
Simplifying an expression using the sum formula for sine
👉 Learn how to simplify trigonometric function of the sum or difference of two angles using the sum/difference formulas. To do this, we first use the unit circle and Pythagoras theorem to identify and obtain the values of the needed...
Brian McLogan
How to verify an identity using double angle formulas
👉 Learn how to evaluate the double angle of sine. The value of the sine of double a given angle can be obtained given the value of the sine of the angle. The value of the sine of double a given angle is obtained using the formula sin(2u)...
Brian McLogan
Evaluate the double angle of sine using a right triangle
👉 Learn how to evaluate the double angle of sine. The value of the sine of double a given angle can be obtained given the value of the sine of the angle. The value of the sine of double a given angle is obtained using the formula sin(2u)...
Curated Video
Trigonometric Identities and Equations
This is a mathematics lecture on trigonometric identities. The presenter explains how to use them to solve trigonometric equations using examples. The video covers the basics of trigonometric ratios, Pythagoras's theorem, and the...
Brian McLogan
What are the reciprocal identities of trigonometric functions
👉 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 two rational trigonometric expressions
👉 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
Half angle of cosine given angle in degrees
👉 Learn all about half-angle identities. In this video playlist, you will learn how to evaluate, solve, simplify and verify using half-angle identities. We will evaluate using angles not found on the unit circle as well as sides of a...
Brian McLogan
Simplify a trig expression by distributive property
👉 Learn how to simplify trigonometric expressions by factoring, expansion, and re-grouping. To simplify a trigonometric identity means to reduce the identity to the simplest form it can take which may be a number or a simple...
Brian McLogan
Evaluate the half angle of sine using a right triangle
👉 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
Add two trig functions using co function identities
👉 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
Evaluate for the sine of an angle using the sum of two angles
👉 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
How do we determine when there is one or two cases for the law of sines
👉 Learn how to determine if a given SSA triangle has 1, 2 or no possible triangles. Given two adjacent side lengths and an angle opposite one of them (SSA or ASS), then there are 3 possible cases: there can be 1 solution, 2 solutions and...
Brian McLogan
Find all the solutions to a simple trigonometric equation
👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric identities, they include by factoring out the GCF and simplifying the factored equation. Another method is to use a...
Brian McLogan
How to create the graphs of tangent and cotangent from the unit circle
👉 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...