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Sine, Cosine, Tangent, The Height Problem

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In Trigonometry, we have some basic trigonometric functions that we will use throughout the course and explore their meanings For the next few days, we will put to use their basic properties

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SOH-CAH-TOA Within a triangle, we can define sine, cosine, and tangent, in regards to angles If we choose the angle α in the sample triangle, we can define: Sin(α) = Opposite/Hypotenuse Cos(α) = Adjacent/Hypotenuse Tangent(α) = Sin/Cos OR Opposite/Adjacent

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All 3 relations are considered just simple ratios in regard to the right triangle As long as we know at least one side and an angle, we can generate some of the ratios

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Example. Using the following triangle, find the following information: Sin(ϴ) = Cos(ϴ) = Tan(ϴ) =

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Example. Now, suppose we know ϴ = 52 0, and the sides are as written. Now, find: Sin(ϴ) = Cos(ϴ) =

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Example. Suppose you are standing 57” away from a building, and you find the angle of you looking up at the building is approximately 55 0. How tall is the building? (Make sure calculators are in “degree”)

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Now, with your items, how can you figure out some way to start measuring angles?

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