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Material Type: Exam; Professor: Wachsmuth; Class: Pre Calc Math Alg and Trig; Subject: Mathematics; University: Seton Hall University; Term: Unknown 1989;
Typology: Exams
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Name: _________________________________
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:
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()
!() = − 7 + 6 $() = 2%^ ℎ() = ln ()
(() = sin (x) *() = cos () +() = tan ()
,() = sec () -() = csc () .() = %
/ (%0)(%1)
b. cos ( )
c. sin(135^4 )
d. csc(−270^4 )
a. If sin() = − ^ and t is in the third quadrant, find tan()
b. If cos() = (^) and cot() = − (^) , find csc()
b.
c.
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.