Trigonometry | Senioritis

John Rhodes
July 7, 2023
Trigonometry

Understanding the Even Property of Cosine Function: The Equality of cos(-x) and cos(x)

cos(-x) = The cosine function is an even function, which means that cos(-x) is equal to cos(x) The cosine function is an even function, which means that...

John Rhodes
July 7, 2023
Trigonometry

Understanding the Unit Circle and the Relationship between sin(-x) and -sin(x)

sin(-x) = To find the value of sin(-x), let’s first recall the unit circle To find the value of sin(-x), let’s first recall the unit circle. The...

John Rhodes
July 7, 2023
Trigonometry

Proving the Pythagorean Identity: A Step-by-Step Guide

Pythagorean Identity: cot^2(x) + 1 = To prove the Pythagorean Identity, we start with the definition of cotangent: cot(x) = cos(x) / sin(x) We can square both...

John Rhodes
July 7, 2023
Trigonometry

Exploring the Pythagorean Identity: Understanding the Relation between Trigonometric Functions and Deriving the Tangent Formula

Pythagorean Identity: tan^2(x) + 1 = The Pythagorean Identity is a trigonometric identity that relates the values of the trigonometric functions sin(x), cos(x), and tan(x) The Pythagorean...

John Rhodes
July 7, 2023
Trigonometry

The Pythagorean Identity: Understanding the Relationship Between Sine and Cosine

Pythagorean Identity: sin^2(x) + cos^2(x) = The Pythagorean Identity is a trigonometric identity that relates the values of sine and cosine for any angle x The Pythagorean...

John Rhodes
July 7, 2023
Trigonometry

Understanding the Quotient Identity for Cotangent (Cot) in a Right Triangle: Explained with Examples

Quotient Identity: cot (x) = The quotient identity for cotangent (cot) states that the cotangent of an angle (x) is equal to the ratio of the adjacent...

John Rhodes
July 7, 2023
Trigonometry

Understanding the Tangent Quotient Identity: Exploring the Relationship between Tangent, Sine, and Cosine in Trigonometry

Quotient Identity: tan(x) = The quotient identity for tangent, also known as the tangent identity, states that: tan(x) = sin(x) / cos(x) In this identity, sin(x) represents...

John Rhodes
July 7, 2023
Trigonometry

Understanding the Reciprocal Identity for Cotangent: Explained with Examples and Simplification

Reciprocal Identity: cot(x) = To understand the reciprocal identity for cotangent, we first need to understand the basic definition of cotangent (cot) To understand the reciprocal identity...