Trigonometry, 2ADV 2026 HSC 14 Find the range and period of the function \(h(x)=3\cos(2x)+1\). (2 marks) --- 6 WORK AREA LINES (style=lined) --- Show Answers Only \(\text{Range:}\ \ -2 \le h(x) \le 4\) \(\text{Period}=\pi\) Show Worked Solution \(-1 \le \cos(2x) \le 1\) \(-3 \le 3\cos(2x) \le 3\) \(-2 \le 3\cos(2x)+1 \le 4\) \(\text{Range:}\ \ -2 \le h(x) \le 4\) \(\text{Period}=\dfrac{2\pi}{n}=\dfrac{2\pi}{2}=\pi\)