Sine, Cosine, Tangent, The Height Problem

Sine, Cosine, Tangent, The Height Problem

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

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

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

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

Example. Now, suppose we know ϴ = 520, and the sides are as written. Now, find: • Sin(ϴ) = • Cos(ϴ) =

Example. Suppose you are standing 57” away from a building, and you find the angle of you looking up at the building is approximately 550. How tall is the building? (Make sure calculators are in “degree”)

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

Sine, Cosine, Tangent, The Height Problem