Redwood High School. Department of Mathematics
2015-2016 H. Adv. Alg. worksheet #5 for Test S2 #5
Hard Worker's name:___________________________________
Graph the function.
1
1) y = - cos x +
4
2
2) y = cos
3) y =
1
x +3
2
3
tan x
2
3)
Find the exact value of the expression without using a
calculator or table.
2
4) = cos-1
4)
2
5)
= cot-1
3
5)
6) tan
5
4
6)
7) sec
-5
4
7)
8) csc
5
3
8)
9) tan
2
9)
11) The graph y = sin (x) is
shifted a distance of /6
to the left, reflected in the
x-axis, translated 4 units
downward, then stretched
by a factor of 8.
11)
12) The graph y = tan (x) is
shifted a distance of /4
to the right, stretched by a
factor of 8, translated 6
units upward, then
reflected in the x-axis.
12)
13) The graph y = cos (x) is
shifted a distance of /3 to
the right, stretched by a
factor of 7, translated 5
units downward, then
reflected in the x-axis.
13)
14) The graph y = cos (x) is
shifted a distance of /4 to
the left, reflected in the
x-axis, translated 5 units
downward, then stretched
by a factor of 8.
14)
15) The graph y = sec (x) is
shifted a distance of /8
to the left, reflected in the
x-axis, then translated 2
units upward.
15)
Find the exact value of the expression without using a
calculator or table.
16) tan-1 (1)
16)
Find the equation for the curve in its final position.
10) The graph y = sin (x) is
10)
shifted a distance of /3
to the right, stretched by a
factor of 4, translated 7
units downward, then
reflected in the x-axis.
17) csc-1 (-1)
1
17)
18)
= cot-1 -
3
18)
19)
= sec-1 -
2
19)
Use reference angles to find the exact value of the
expression. Do not use a calculator.
5
20) sin
20)
3
21) csc
4
3
21)
22) sec
5
4
22)
23) cot
-11
6
23)
Graph the function.
3
24) y = - cos x 4
2
25) y = 3 tan(4x)
26) y = -3 tan
1
x
4
25)
26)
27) y = -2 cos 2x
27)
28) y = 2 cos 4 x
28)
29) y = -
1
cos x
4
4
29)
30) y = -
1
sin x +
2
3
30)
2
Answer Key
Testname: HADVALG S2 TEST 5 WKS TRIG I V2.0
1)
2)
3)
4)
5)
6)
7)
45°
30°
1
- 2
2 3
8) 3
9) undefined
10) y = -4 sin x -
3
+7
3
Answer Key
Testname: HADVALG S2 TEST 5 WKS TRIG I V2.0
11) y = -8 sin x +
12) y = -8 tan x 13) y = -7 cos x 14) y = -8 cos x +
15) y = - sec x +
16)
8
6
4
3
4
-4
-6
-5
-5
+2
4
17) -
2
18) 150°
19) 135°
3
20) 2
21) -
2 3
3
22) - 2
23) 3
24)
4
Answer Key
Testname: HADVALG S2 TEST 5 WKS TRIG I V2.0
25)
26)
27)
5
Answer Key
Testname: HADVALG S2 TEST 5 WKS TRIG I V2.0
28)
29)
30)
6