Trigonometric+Functions+-+B1

Trigonometric Functions Radians and Degree Measures Sine, Cosine, and Tangent

Sine, cosine, and tangent each represent a different fraction of two sides of a right triangle. This is easy to remember if you can remember SOH CAH TOA. To simplify, this is an abbreviation to remember which trig function goes with which sides. For example, SOH means sine isequal to opposite over hypotenuse, CAH is cosine is equal to adjacent overhypotenuse and TOA is tangent is equal to opposite over adjacent.

Domain and Ranges for sin, cos and tan
For Sin the domain is negative infinity to infinity and the range is -1 to 1 For Cos the domain is negative infinity to infinity and the range is -1 to 1 For Tan the domain is all real numbers except pi/2+piK and the range is negative infinity to infinity Cosecant, Secant, and Cotangent

Unit Circle

The unit circle is used to display the value of trigonometric functions cosine and sine as x and y coordinates on a plane. The circle is centered around the origin and has a radius of 1. The x coordinate is equal to cosine at a given angle, while the y coordinate is equal to sine. For example, at the angle π/2 the point on the circle is (0,1). This means that cosine, being the x value, is equal to zero at the angle, and sine, being the y value, is equal to 1.

Important Trig Values The chart below contains all of the important trig values that you should know. to get these values for secant, cosecant and cotangent simply flip the corresponding value so the original denominator is the new numerator and the original numerator is the new denominator. For example to find the csc30 degrees find sin30 (1/2) and then flip it to get 2/1 or 2.

Sources: Important Trig values [] Unit circle: [] Sine, cosine, and tangent: []