Tag: angles
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3.3 The Unit Circle and Circular Functions
Meet your best friend – the unit circle! The unit circle is an integral part to helping you succeed in trigonometry. Memorize every part of it (it’s not as overwhelming as it would appear at first glance), and use it to your advantage. During my college trigonometry class, I drew the unit circle on the…
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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
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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,…
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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…