Sign Up

Sign In

Forgot Password

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

What is the capital of France? ( Paris )

You must login to ask a question.

You must login to add post.

Please briefly explain why you feel this question should be reported.

Please briefly explain why you feel this answer should be reported.

Please briefly explain why you feel this user should be reported.

Dude Asks Latest Articles

Trig Identities – How Were The Trigonometric Identities Created?

Trig Identities – How Were The Trigonometric Identities Created?

Have you ever wondered how trigonometric identities were created? Trigonometry is a fascinating branch of mathematics that can be applied to many different fields. What are the most important trigonometric identities to memorize?

In this blog, we will discuss the history and development of trigonometric identities, as well as what they are used for.

How Were The Trigonometric Identities Created?

The trigonometric identities are a set of equations that express basic trigonometry ratios in terms of one another. The trigonometric identities are an important part of solving trigonometry problems and are often used to reduce the complexity in trigonometric calculations. Trig identities are also useful for simplifying expressions involving trig functions.

The history of trigonometry starts with the study of triangles where angles were measured using degrees. It was later discovered that there could also be angles measured in radians from 0° up to 360°. A revolution occurred when mathematicians realized they could calculate sines, tangents, and other trigonometric functions using the same set of trigonometric identities.

There are many different relationships that can be derived from these basic trigonometric equations but they all share a common technique: reduce complex multiplication and division to addition and subtraction, respectively.

What Are The Most Important Trigonometric Identities To Memorize?

The only ones that are absolutely necessary to memorize are the ones with long derivations, like the sum and difference formulas for sine and cosine or the half-angle formulas. However, learning most of them will improve speed and efficiency on most problems.

Important trigonometric identities to memorize are the long derivations, which include the sum and difference formulas for sine and cosine or the half-angle formulas.

Learning most of them (especially the reciprocal) will improve speed on solving most problems, but that’s not absolutely necessary (since you can always access them here).

Reciprocal (Definition) Identities:

Reciprocal (Definition) Identities

 

Pythagorean Identities:

Pythagorean Identities

 

Parity Identities:

Parity Identities

 

Cofunction Identities:

Cofunction Identities

 

Addition/Subtraction Formulas:

Addition-Subtraction-Formulas

 

Double/Half Angle Formulas:

Double-Half Angle Formulas

 

Power Reduction Formulas:

Power Reduction Formulas1Power Reduction Formulas2

 

Can I Get A Trigonometry Formulas List?

Here are 2 important trigonometry sheets with a list of important formulas that we’ve found most useful:

trigonometry definition

 

trigonometry law and identities
Source: https://www.eeweb.com/tools/math-help/ 

Dude

Dude

Profile CredentialAdministrator
Hey there, I’m Bobby, but most folks around here know me as Dude. At DudeAsks.com, my mission is crystal clear: to untangle the knots of curiosity by bringing expert insights to life's most intriguing questions.
Curiosity fuels my existence. You'll catch me diving into the depths of quantum mechanics one moment and exploring the virtues of different veggies the next. From pondering life's existential mysteries in my younger years to now channeling that inquisitiveness into this platform, I've always hungered for answers.
Life's gotten busier since those early days, packed with work and family. But you know what hasn’t changed? The endless barrage of questions. DudeAsks bridges that gap between life’s whirlwind and our insatiable curiosity.
Our vibrant community thrives on the main Q&A board, buzzing with hundreds of questions and lightning-fast, expert-backed responses. That’s the essence of what we do – rapid, precise answers from the best in the field.

Related Posts