Expanding Using Double-Angle Formulas

The process of expanding using double-angle formulas involves representing a trigonometric function of a double angle in terms of singular angles. The formulas that are used in this process include sin2A = 2sinAcosA, cos2A = cos²A - sin²A, or alternatively, 2cos²A - 1, or 1 - 2sin²A. These formulas are critical in simplifying expressions and resolving trigonometric equations.

The problems about Expanding Using Double-Angle Formulas

Topic	Problem	Solution
None	Rewrite $\sin (2 \tan^{- 1} u)$ as an …	We are given the expression $\sin (2 \tan^{- 1} u)$ and we are asked to rewrite it as …
None	Write each expression as an algebraic (nontrigono…	Given the expression $\sin (2 \sec^{- 1} \frac{u}{6})$ , we need to convert it into an …
None	10. Simplify $6 \sin 4 θ \cos 4 θ$ …	$6 \sin 4 θ \cos 4 θ = 3 \cdot 2 \sin 4 θ \cos 4 θ$