Use identities to finish the statement.
If Bold sine theta equals negative 0.997​, then Bold sine left parenthesis negative theta right parenthesisequals​_____.
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Part 1
If Bold sine theta equals negative 0.997​, then Bold sine left parenthesis negative theta right parenthesisequals

enter your response here.

Using the identity for sine functions, we know that:

\[
\sin(-\theta) = -\sin(\theta)
\]

Given that \(\sin(\theta) = -0.997\), applying the identity:

\[
\sin(-\theta) = -(-0.997) = 0.997
\]

Thus, the answer is:

\[
\sin(-\theta) = 0.997
\]

Would you like more details or further clarification?

Here are 5 related questions to consider:
1. What is the identity for cosine of negative angles?
2. How does the sine function behave in different quadrants of the unit circle?
3. How can you apply the sine identity to trigonometric equations?
4. How does the value of sine relate to the reference angle?
5. What is the range of possible values for \(\sin(\theta)\)?

**Tip**: Remember that sine is an odd function, meaning \(\sin(-\theta) = -\sin(\theta)\). This property helps with simplifying expressions involving negative angles.

If sin(θ) = -0.997, then sin(-θ) equals ______.

This guide explains how to solve for sin(-θ) when sin(θ) = -0.997 using the odd function property of the sine function. Learn the steps and key concepts in trigonometry, ideal for students in Grades 9-11.

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