Category: Unit 1
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1.4 Using the Definitions of the Trigonometric Identities
Trigonometric identities are equations that we can use to help us to solve trigonometric equations and simplify trigonometric expressions. In this lesson, we are going to cover reciprocal identities, Pythagorean identities, quotient identities, and the range of trig functions. We already went over reciprocal identities in the last lesson, but let’s go over them again.…
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1.3 Trigonometric Functions
In trigonometry, there are 6 trigonometric functions that relate an angle of a right triangle to two side lengths. The 3 main functions are sine, cosine, and tangent, with their reciprocals being the cosecant, secant, and cotangent. Let’s remember the Pythagorean Theorem: We can visualize the Pythagorean theorem in all four quadrants and the way…
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1.2 Angle Relationships and Similar Triangles
Types of Angles –Vertical Angles have equal measure. In the example below, angles 1 and 3 are vertical angles, as well as angles 2 and 4. –Alternate Interior Angles have the same measure. As we can see expressed below, angles 1 and 2 are alternate interior angles. –Alternate Exterior Angles have the same measure. They…
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1.1 Angles in Trigonometry
Trigonometry is basically the study of angles and their relation to certain calculations. Therefore, it makes sense that the first thing we will review is the different classifications of angles and how they can be expressed. What’s more, every single calculation you perform in trigonometry is going to be in relation to an angle of…
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Radical Expressions
What is a radical expression? Before we can begin to learn trigonometry, it’s important that we have a firm understanding of radical expressions. This is a review from algebra. A radical expression denotes the square root of a given number or term, and is expressed by a symbol that looks similar to a check mark…
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Trigonometry Formulas
Trigonometry formulas are your best friend in trigonometry. Memorize these to help you solve all trigonometry related problems you may run into. 6 Trig Functions Quadrantal Angles Reciprocal Identities Pythagorean Identities The Pythagorean Identities can be rewritten in the following way: For more information on the Pythagorean identities and how they can be used, click…
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How to Navigate the Trigonometry Section
For now, the only material on this website is trigonometry related. As time goes on, this website will grow, and the categories will be updated to reflect the different subjects that are added. The content is going to be separated into 5 different units of approximately 10 different sections. Each unit will build upon the…