Problem 89
Question
Determine whether each statement makes sense or does not make sense, and explain your reasoning. To prove a trigonometric identity, I select one side of the equation and transform it until it is the other side of the equation, or I manipulate both sides to a common trigonometric expression.
Step-by-Step Solution
Verified Answer
The statement makes sense because it describes the two most common methods of proving trigonometric identities: transforming one side until it is the same as the other or simplifying both sides until they are the same common expression.
1Step 1: Understand the process
In proving a trigonometric identity, you often start by taking one side of the equation and then manipulating it using the trigonometric identities until it becomes the other side of the equation. This way, both sides of the equation become identical, thereby proving the trigonometric identity.
2Step 2: Explanation of the alternative method
The second part of the statement refers to another common method used to prove trigonometric expressions. This involves manipulating both sides of the identity separately with the aim of each side simplifying down to a common trigonometric expression. Once both sides become the same, this proves the identity.
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