91Ó°ÊÓ

Using a inverse trigonometric function find the solutions of the given equation in the indicated interval. Round your answers to two decimal places. $$ 3 \sin 2 x+\cos x=0,[-\pi / 2, \pi / 2] $$

Rewrite the given function as a single trigonometric function involving no products or squares. Give the amplitude and period of the function. $$ y=\sin (x / 2) \cos (x / 2) $$

Find the period of the given function. $$ f(x)=\sin \frac{3}{2} x+\cos \frac{5}{2} x $$

In Problems \(69-72\), find the arc length \(s\) subtended by a central angle \(\theta\) in a circle of radius \(r\). $$ \theta=3 \text { radians, } r=5 \text { in } $$

Using a inverse trigonometric function find the solutions of the given equation in the indicated interval. Round your answers to two decimal places. $$ 5 \cos ^{3} x-3 \cos ^{2} x-\cos x=0,[0, \pi] $$

Discuss and then sketch the graph of the given function. $$ f(x)=|\sin x| $$

Rewrite the given function as a single trigonometric function involving no products or squares. Give the amplitude and period of the function. $$ y=2 \sin 2 x \cos 2 x $$

In Problems \(69-72\), find the arc length \(s\) subtended by a central angle \(\theta\) in a circle of radius \(r\). $$ \theta=1.5 \text { radians, } r=4 \mathrm{~cm} $$

Rewrite the given function as a single trigonometric function involving no products or squares. Give the amplitude and period of the function. $$ y=5 \cos ^{2} 4 x-5 \sin ^{2} 4 x $$

Using a inverse trigonometric function find the solutions of the given equation in the indicated interval. Round your answers to two decimal places. $$ \tan ^{4} x-3 \tan ^{2} x+1=0,(-\pi / 2, \pi / 2) $$