https://file.aiquickdraw.com/mathbot/file/1730128879697eeip8x3x.jpg

The question is asking for the equivalent statement of \( \sin(2\theta) \). 

From trigonometric identities, we know that:
\[
\sin(2\theta) = 2 \sin(\theta) \cos(\theta)
\]

This matches the last option in the image: 
\[
\boxed{2 \sin(\theta) \cos(\theta)}
\]

Would you like further details or explanations on this?

Here are some related questions you might find helpful:
1. What is the formula for \( \cos(2\theta) \)?
2. Can you derive \( \sin(2\theta) \) using the sum of angles identity?
3. How can you express \( \sin(3\theta) \) in terms of \( \sin(\theta) \) and \( \cos(\theta) \)?
4. How does the double-angle identity help simplify trigonometric equations?
5. What is the relationship between the double-angle identities for sine and cosine?

**Tip:** Remember that the double-angle identities are useful in simplifying trigonometric expressions, particularly when dealing with integrals or equations involving higher powers of trigonometric functions.

Find the equivalent statement for sin(2θ).

This page provides a solution for finding the equivalent statement for sin(2θ) by applying the double angle identity for sine. Suitable for high school students in Grades 10-12 learning about trigonometric identities.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation