MySTEMNotes

MySTEMNotes: college level STEM notes

  • 3.2 Applications of Radian Measure

    Before we can get into the applications of radian measure, first we must define what exactly a radian is. In simple terms, a radian is a unit of measurement, similar to degrees but relating primarily to circles; however, we do use radians in trigonometric functions. A radian is an angle whose corresponding arc in a…

  • 2.3 How to Find Trig Function Values Using a Calculator

    So far, we haven’t had much use for a calculator with our math operations. Going forward, we might want to check what exactly the value of a certain function is, or find it’s inverse. Using a calculator to find trig function values is important to be able to check our work and for various applications.…

  • 2.2 Finding Trigonometric Functions of Non-Acute Angles

    This lesson is going to cover how to find the trigonometric functions of angles that are more than 90 degrees and less than 0 degrees. Let’s proceed. Finding the Reference Angle

  • 2.1 Trigonometric Functions of Acute Angles

    One way to remember the trigonometric functions is through the acronym SOH CAH TOA. In the illustration above, we are shown what each respective side of the triangle is labeled, and now we can use this to apply to SOH CAH TOA. SOH = sine, opposite, hypotenuse CAH = cosine, adjacent, hypotenuse TOA = tangent,…

  • 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.…

  • 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…

  • 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…

  • 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…

  • 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…

  • 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…