005 Sample Final A, Question 15

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Question Find an equivalent algebraic expression for the following,

1) can be thought of as and this now refers to an angle in a triangle. What are the side lengths of this triangle?
1) The side lengths are 1, x, and
Step 1:
First, let . Then, .
Step 2:
Now, we draw the right triangle corresponding to . Two of the side lengths are 1 and x and the hypotenuse has length .
Step 3:
Since , .
Final Answer:

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