They may be defined as the ratios of the lengths of sides of a right angled triangle, relative to either of the other angles.sine = opposite/hypotenuse
cosine = adjacent/hypotenuse
tangent = opposite/adjacent
cosecant = hypotenuse/opposite
secant = hypotenuse/adjacent
cotangent = adjacent/opposite.
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Six.
Sine and cosine.
There are a few ways. First, there are a multitude of trigonometric tables which list the sines and cosines of a variety of values. if you now one trigonometric value of a number, you can find all the others by hand, and you can also use a Taylor series approximation to find a fairly accurate value. (In fact, many calculators use Taylor series to find trigonometric values.)
Given a unit circle (radius = 1) and a counterclockwise angle (theta) between the positive x axis, with the x-y coordinate of the point on the circle that the angle intersects, the three basic trigonometric ratios are... 1. sine (theta) is y 2. cosine (theta) is x 3. tangent (theta) is x / y
A memory trick that I learned for trigonometric values is:Sin: opp/hypCos: adj/hyptan: opp/adjSoh-Cah-Toa