Problem 33
Question
Use an identity to find the value of each expression. Do not use a calculator. $$\sin 1.7 \csc 1.7$$
Step-by-Step Solution
Verified Answer
The value of the expression \( \sin 1.7 \csc 1.7 \) is 1.
1Step 1: Identify the relationship between sine and cosecant
The trigonometric functions sine, denoted as \( \sin \), and cosecant, denoted as \( \csc \), are reciprocal to each other. This means that their product always equals 1.
2Step 2: Apply the identity to the expression
We apply this identity to the given expression \( \sin 1.7 \csc 1.7 \). Regardless of the values cosine and sine take at 1.7, their product will always be 1.
3Step 3: Write the final result
The value of the expression \( \sin 1.7 \csc 1.7 \) is 1.
Other exercises in this chapter
Problem 33
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