The discussion focuses on simplifying the expression \(\sqrt{2 + 2\cos x}\) to \(2\cos(x/2)\). The key steps involve recognizing that the expression can be factored by taking out the common factor of 2. Additionally, the identity \( \cos 2x = 2\cos^2(x/2) - 1 \) is utilized to relate \(\cos x\) to \(\cos(x/2)\). The final conclusion confirms that the transformation is valid and correctly simplifies the original expression.
PREREQUISITESStudents studying trigonometry, educators teaching trigonometric identities, and anyone looking to improve their skills in simplifying trigonometric expressions.