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  4. Range of value of 13+12 sin (11 θ/2)+5 cos (11 θ/2) is

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

Trigonometric Functions

Solution:

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