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Trigonometry Test 3
Show work.
Find the domain and range.
1)
y=
2) Find the smallest possible positive and
largest negative coterminal angles.
3x  12
– 427°

3) Find all the values of y such that the distance between the given points is as
indicated.
( -1, y) & (-4, -5) distance = 34

4) Solve for x if the triangles are similar.
48
32
18
3x – 3
Find the other 5 trig. functions using a pythagorean identity. (4 pts.)
5 - 6) Sin r =
2
, Cos < 0
3
Evaluate each of the following using the table not your calculator.
7) 2 Cos2 330 – Sin 150 + 4 | Sec 240 |
8) Tan2 120 + 3 Sec 315 – Tan 135
Write in terms of cofunction.
9) Sin 63 35’
10) Sec (B + 42)
Solve for a.
12) Sec ( 3a/ 2 – 5) = Csc (2a/ 3 + 30)
11) Tan (2a - 9) = Cot ( a + 6)
Possible or Impossible.
True or False.
13) Sin A = 1.4
14) Sin 34 < Cos 28
13a) Sec B = 2.348
14a) Sin 120 = Sin 150 – Sin 30
15) Cot 52 < Cot 34
Find the related angles.
16) – 139 24'
15a) 329 46'
17) 513 52’
Use calculators to find the value of each.
18) Sin 62 20'
18a) Tan 25 50'
19) Sec 74 30'
(2 pts)
Find the value of the angle to the nearest ten minute.
20) Sin a = .6648
20a) Cos a =.3311
21) Cot a = 3.647
(2 pts)
Use the 30 - 60 and 45 - 45 ∆ formulas to find the missing sides. ( 4 pts. each)
22)
24)
b
45
t
16
r
60
s
a
45
u
c
30
e
10