Question

Range of value of $13+12\sin \frac{11\theta }{2}+5\cos \frac{11\theta }{2}$ is

• A. $[0,26]$
• B. $(0,26)$
• C. $[-13,13]$
• D. $[13,26]$

Answer 1

Answer: (A)

$-13\le 12\sin \frac{11\theta }{2}+5\cos \frac{11\theta }{2}\le 13$
$0\le 13+12\sin \frac{11\theta }{2}+5\cos \frac{11\theta }{2}\le 26$
range $=[0,26]$