91Ó°ÊÓ

The displacement \(d\) (in meters) of an object at time \(t\) (in seconds) is given. (a) Describe the motion of the object. (b) What is the maximum displacement from its rest position? (c) What is the time required for one oscillation? (d) What is the frequency? $$ d(t)=5 \cos \left(\frac{\pi}{2} t\right) $$

Solve each triangle. $$ A=55^{\circ}, \quad B=25^{\circ}, \quad a=4 $$

The displacement \(d\) (in meters) of an object at time \(t\) (in seconds) is given. (a) Describe the motion of the object. (b) What is the maximum displacement from its rest position? (c) What is the time required for one oscillation? (d) What is the frequency? $$ d(t)=-9 \sin \left(\frac{1}{4} t\right) $$

Solve each triangle. $$ a=6, \quad b=4, \quad C=60^{\circ} $$

Find the area of each triangle. Round answers to two decimal places. $$a=6, \quad b=4, \quad C=60^{\circ}$$

The displacement \(d\) (in meters) of an object at time \(t\) (in seconds) is given. (a) Describe the motion of the object. (b) What is the maximum displacement from its rest position? (c) What is the time required for one oscillation? (d) What is the frequency? $$ d(t)=-2 \cos (2 t) $$

Solve each triangle. $$ A=50^{\circ}, \quad C=20^{\circ}, \quad a=3 $$

The displacement \(d\) (in meters) of an object at time \(t\) (in seconds) is given. (a) Describe the motion of the object. (b) What is the maximum displacement from its rest position? (c) What is the time required for one oscillation? (d) What is the frequency? $$ d(t)=3+7 \cos (3 \pi t) $$

Find the area of each triangle. Round answers to two decimal places. $$b=4, \quad c=1, \quad A=120^{\circ}$$

Solve each triangle. $$ b=4, \quad c=1, \quad A=120^{\circ} $$