trigonometry Tag Posts Index

Problems Plus 3: Line and Surface of Two Intersecting Planes

In this video I determine the symmetric equations of a line at the intersection of two planes. I then find out that when the equations of the plane vary, the line

An Introduction To Trigonometric Ratios & SOH CAH TOA

Hi there. In this math post I provide an introduction to trigonometric ratios of right angled triangles. I also cover the useful memory aid SOH CAH TOA and its usage.

Example 2: Approximating sin(x) with Taylor Polynomials and Calculating its Error

In this video I go over a very in-depth video exploring the trigonometric sine function, its Taylor polynomials approximation, and its associated error.

Example 2: Approximating sin(x) with Taylor Polynomials and Calculating its Error

In this video I go over a very in-depth video exploring the trigonometric sine function, its Taylor polynomials approximation, and its associated error. The Maclaurin

Trigonometry: Sine, Cosine and Tan Functions

▶️Watch on 3Speak - Odysee - BitChute - Rumble - YouTube - PDF notes This video shows a brief introduction to the wonderful world of trigonometry and defines the

Exact Trigonometry Ratios Part 1: 0, 30, 45, 60, and 90 Degrees

▶️Watch on 3Speak - Odysee - BitChute - Rumble - DTube - YouTube - PDF notes This is a very useful on showing some easy ways of deriving how to get the exact Trig

Exact Trigonometric Ratios Part 2: Examples

▶️Watch on 3Speak - Odysee - BitChute - Rumble - DTube - YouTube - PDF notes This video provides some examples to further explain trigonometric functions which were

Trigonometry Identity: Proof that sin^2(x) + cos^2(x) = 1

▶️Watch on 3Speak - Odysee - BitChute - Rumble - DTube - YouTube - PDF notes A simple proof of the very important and useful trigonometry Identity sin2(x) + cos2(x)

Sum Of Angle Formulas For Sine & Cosine

Hi there. In this math education post I cover the topic of sum of angle formulas for sine and cosine. This topic is a part of the trigonometry section of mathematics.

Double Angle Formula For Sine

Hi there. In this math post I cover the double angle formula for the sine trigonometric function. I cover the base formula, a rearranged formula and cover some examples.

Trigonometry Graphing: Sin, Cos, Tan Functions

A simple introduction to graphing Sine, Cosine and Tan Functions is shown. These functions are cyclical and are used in many real world applications so it is very

Problems Plus 8: Trigonometric Formula and Sum of Series Involving Inverse Cotangent

In this video I derive a similar formula as in Problem 7 but this time use arccot or inverse cotangent. I then use that formula, as well as the useful method of

Problems Plus 7: Calculating π Using Inverse Tangent Maclaurin Series

In this video I go over a very long problem that involves first determining several arctan formulas and then using them to determine the value of the π up to 7 decimal

Problems Plus 4: Limit of the Angle of a Spiraling Triangle Sequence

In this video I go over a sequence which involves rotating triangles around a point and determining the limit of the inner angle of the triangles. To solve this

Problems Plus 3: Trigonometric Identity and Sum of Infinite Series

In this video I go over a two-part problem that involves proving a trigonometric identity and then using that identity to find the sum of an infinite series. The

Problems Plus 1: 15th Derivative of sin(x^3) at x = 0

In this video I go over Problem 1 which asks us to determine the 15th derivative at x = 0 for the function sin(x^3). Instead of manually solving the derivatives

Inverse Functions Part 2: One to One Functions and the Horizontal Line Test

In this video I clarify the inverse functions in which I defined in my earlier video to state that it is only applicable to one to one functions. This requirement

Inverse Trigonometric Functions: Inverse Cosine, Sine, and Tan Functions

This video demonstrates how to get the inverse functions for the most common trigonometric functions in cosine, sine, and tan functions. Trigonometric functions

Trigonometry: Proof of Law of Cosines (and Pythagorean Theorem)

In this video I show a simple geometric proof of the cosine law. This is very useful in real world applications. Also from the proof of the cosine law you can easily

Trigonometry Identities: sin(-x) = - sin(x) and cos(-x) = cos(x)

In this video I prove the two identities, sin(-x) = - sin(x) and cos(-x) = cos(x), which show that cosine is an even function while sine is an odd function. Download