Exam 24: Trigonometric Functions The Unit Circle

The displacement from equilibrium of an oscillating weight suspended by a spring is given by $y ( t ) = \frac { 1 } { 4 } \cos ( 6 t )$ ,where y is the displacement (in feet)and t is the time (in seconds).Find the displacements when $t = 5$ .(Round your answers to two decimal places. ) ​

Evaluate (if possible)the sine,cosine,and tangent of the real number.​ $t = - 7 \pi$ ​

Evaluate the trigonometric function using its period as an aid. ​ Cos 8π ​

Find the value of given trigonometric function.Round your answer to four decimal places.​ $\sin \frac { \pi } { 6 }$ ​

Find the exact values of the three trigonometric functions sine,cosine,tangent of the real number t.​ ​ a = $\frac { 15 } { 17 }$ ,b = $\frac { 8 } { 17 }$ ​

Find the point (x,y)on the unit circle that corresponds to the real number t.(Round your answer to one decimal place. )​ $t = \frac { \pi } { 2 }$ ​

Find the value of given trigonometric function.Round your answer to four decimal places.​ $\cos ( - 2.5 )$ ​

Evaluate the trigonometric function using its period as an aid.​ $\cos \frac { 23 \pi } { 4 }$ ​

Use the value of the trigonometric function to find $\sin t$ .​ $\sin ( - t ) = \frac { 3 } { 10 }$ ​

Evaluate (if possible)the sine,cosine,and tangent of the real number.​ $t = \frac { 3 \pi } { 2 }$ ​