(Solved): II. Identify terminal points and are lengths: 1. Find the cartesian coordinates of a point that is ...

II. Identify terminal points and are lengths: 1. Find the cartesian coordinates of a point that is units from the standard starting point on the trigonometric circle. Draw a large and clear sketch of the trigonometric circle and clearly state and illustrate the terminal point of this are length. 2. Find a differently directed (i.e. negative) are with the exact same terminal point as in the previous problem. Clearly state and illustrate the required are on the above sketch. III. Define trigonometric functions: On the trigonometric circle, define the six fundamental trigonometric func- tions corresponding to an arbitrary angle in terms of the cartesian coordi- nates z and y of the terminal point P(x, y). For example, sin 8== opp y = =y hyp 1 Do you recall the other ones? Draw a large and clear sketch of the trigono- metric circle and an arbitrary angle 0. Illustrate the cartesian coordinates corresponding to such an angle 8 and clearly state the remaining five funda- mental trigonometric functions applied to 0.