It is easier to write sin⁡2𝜃=2sin⁡𝜃 and not bother with memorizing the double-angle formula.Group of answer choicesTrueFalse

Analyzing the Statement

1. Understanding the Claim: The statement claims it is easier to use the expression $\sin 2\theta = 2\sin \theta$ instead of memorizing the double-angle formula for sine.

2. The Correct Double Angle Formula: The correct double-angle formula for sine is actually given by: $\sin 2\theta = 2\sin \theta \cos \theta$ This means that the statement is incorrect since $\sin 2\theta$ cannot be simplified to just $2\sin \theta$ without considering $\cos \theta$.

3. Conclusion: Memorizing the proper double-angle formula is essential for solving trigonometric problems accurately.

Final Answer

False: It is not easier to write $\sin 2\theta = 2\sin \theta$ since this is not a correct representation of the relationship. The correct formula is $\sin 2\theta = 2\sin \theta \cos \theta$.