This problem goes over an example from Unit R Concept 3 which deals with trigonometric function of an inverse trig. function. When solving this we also have to use the sum and difference formulas to help prove that these values for the functions are true. This problem also makes use of previous units such as the unit circle to figure out the actual ordered pair for the trig functions used. Also in this concept our knowledge of the trig functions is able to be put to use such as knowing that sin is equal to the y value of the point and cosine is the x-value of the ordered pair used.
What does the viewer need to pay close attention to in order to do the problem correctly?
In order to solve this problem correctly the viewer must pay close attention to how we are able to derive u and v from the original equation give; canceling out the inverse to just get the value on one side. This is the most important part because we then need to be careful when identifying our ordered pair that is used. Another spot where kids make mistakes is making sure that they use the correct equation to plug the values into. It is important that the viewer is familiar with the sum and difference formulas to pick the correct one when substituting and simplifying.
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