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Math 1015: Exam
- State the following definitions:
a. What is the definition of sin () in the triangle below:
b. What is the law of sines:
c. State any one of the laws of cosines:
- Are the following statements true or false?
a. The point ( , ) is on the unit circle
b. If , is the terminal point for then tan() =
c. cos ( ) is an odd function
d. The graph of = cos ( − 2) is a standard cos graph shifted to the right by 2
e. sin =
f. tan ^ + 1 = sec ()
- Match the graphs to the functions listed
!() = − 7 + 6 $() = 2%^ ℎ() = ln ()
(() = sin (x) *() = cos () +() = tan ()
,() = sec () -() = csc () .() = %
/ (%0 )(%1 )
- Find the value of the following trig functions a. sin()
b. cos ( )
c. sin(135^4 )
d. csc(−270^4 )
- Find the following expressions:
a. If sin() = − ^ and t is in the third quadrant, find tan()
b. If cos() = (^) and cot() = − (^) , find csc()
- Find the value of the expression labeled a.
b.
c.
- Find the perimeter of the shaded region
- To measure the height of Science Hall, Bert stands 100 feet away from the building. He carefully eyes the top edge of the building and notes that he looks up at an angle of 60o. How high is the building?
Extra: An object is moving up and down in a periodic movement, completing 4 cycles every minute. At time 0 the initial displacement of the object is 5 cm. Find a function that models this motion.
