Name: ______Pre-Calculus Honors Fall Final Exam Review
*** ALL WORK AND ANSWERS MUST BE ON NOTEBOOK PAPER ***
1) Convert to degrees.2) Convert 115o to radian measure.
3) Convert -345.12o to DMS.4) Convert to decimal degrees.
5) Determine two co-terminal measures 6) Determine two co-terminal measures
for for -36o.
7) A sprinkler n a golf course fairway is set to spray water over a distance of 70 feet and rotates through an angle of 120o. Find the area of the fairway watered by the sprinkler.
8) A terminal ray passes through (12, -5).9) Find the value to all six trigonometric
Find the value to all six trig. functions. functions if = .
10) Evaluate each:,,11) Evaluate each: ,,
12) If and , find13) Evaluate cot 52.8o.
the remaining 5 trig functions.
14 – 17: Solve for x in each right triangle.
14) 15)
16)17)
18) A steel cable zip-line is being constructed for a competition on a reality television show. One end of the zip-line is attached to a platform on top of a 150 foot pole. The other end of the zip-line is attached to the top of a 5 foot stake. The angle of elevation to the platform is 23o. How long is the zip-line?
19) Find the reference angle if = 309o.20) Find the reference angle if .
21) Determine the quadrant when sec < 022) Find all solutions in 0 < 2 for
and csc < 0 .
23) Find all solutions in 0 < 2 for24) Find all solutions in 0 < 2 for
25) Determine the amplitude of each:26) Determine the period of each:
27) Determine the phase shift of each:28) Graph
29) Graph 30) Graph
31) Find the exact value of each:32) Find the exact value of each:
33) Find the exact value of tan(arcos ½ )34) Find the exact value of
35) Graph y = 2 arcsin (2x)36) Graph
37) A television camera at ground level is filming the lift-off of a space shuttle at a point 750 meters from the launch pad. Find the angle of elevation to the shuttle when it is 1200 meters high.
38) Simplify 39) Simplify
40) Simplify 41) Simplify
42) Solve for all solutions 0 x < 243) Solve for all solutions 0 x < 2
44) Verify graphically45) How many solutions are there for:
46) Solve 2cos x + 1 = 047) Solve sin3x = sin x
48) Use the sum/difference formulas to49) Use the sum/difference formulas to
find the exact value of find the exact value of
50) Find the exact value of 51) Find the exact value of
52) If then 53) Use the half-angle formula to find the
find sin , cos 2, and tan 2 exact value of sin 105o.
54) Solve the triangle if:55) Solve the triangle if:
56) How many triangles are possible?57) How many triangles are possible?
58) Because of Hurricane Ike, a tree grew so that it was leaning 4o from the vertical. At a point 35 meters from the tree, the angle of elevation to the top of the tree is 23o. Find the height of the tree.
59) Solve the triangle 60) Solve the triangle
61) Find the area of the triangle if:62) Find the area of the triangle if:
63) Convert using cis notation64) Convert 24 cis 300o.
65) Find the product of66) Find the quotient of
67) Identify the type of polar graph:68) Identify the type of polar graph:
69) How many petals are on the rose:70) How many petals are on the rose:
r = 4 cos 3r = 3 cos 4
71) State 3 equivalent polar coordinates to (4, 105o).
72) Express in Complex Polar Form:
73) Express your answer in rectangular form for:
74) Express your answers in rectangular form for
75)Use DeMoivre’s Theorem to calculate and express your answer in the polar form
76) Find the magnitudeand direction angle for
77) Determine if the vectors are parallel, orthogonal or neither:
78) If and find 2u – 5v.
79)Initial point P (5, 2) and terminal point Q (-3, 7) are given, find the resultant vector.
80) If the angle measure between 2 forces is and one force is 50 pounds and the other is 72 pounds, find the resultant force.