One of the motivations for developing trigonometry with a unit circle is that you can actually see sin and cos on the circle Note in the following figure that AP sin and OA cos It turns out that you can also see the other four trigonometric functions Prove each of the following a) BD tan b) OD sec ...

We are given a unit circle hence its radius 1 unit and f ...

One of the motivations for developing trigonometry with a unit circle is that you can actually see

Question:

One of the motivations for developing trigonometry with a unit circle is that you can actually “see” sin θ and cos θ on the circle. Note in the following figure that AP = sin θ and OA = cos θ. It turns out that you can also “see” the other four trigonometric functions. Prove each of the following.

a) BD = tan θ

b) OD = sec θ

c) OE = csc θ

d) CE = cot θ