The Six Trig Functions are sine, cosine, tangent, cosecant, secant, and cotangent. We can use SOHCOATOA (sine = opposite/hypotenuse, cosine = adjacent/hypotenuse, and tangent = opposite/adjacent) to help us solve for missing sides of right triangles. It is convenient if we already have a picture of the right triangle to help us, but sometimes, this is not the case. We may often need to draw the angle ourselves on a coordinate plane. We can do this using a point and the origin or using the origin along with an equation of a line.
Important things to remember when you are drawing your graph/angles:
-Begin in standard position, at zero degrees.
-Always rotate counterclockwise, in the positive direction, unless otherwise specified by the problem.
-Your angle (theta) always goes closest to the origin
-When drawing your triangle, draw it closest to the positive side in which you are rotating.
-Solve for a missing side using the Pythagorean Theorem. We don't necessarily have to know what the angle measure is in order to do this.
-Leave your answers in radical form. I prefer "the square root of 5" as opposed to 2.236. Why? Because radical notation is, mathematically, more accurate.
Bring your review sheets tomorrow! Quiz Friday!
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