Download Trigonometry Test 10 Graph. ( 4 pts. for 1 and 3 pts. each) 1) y = 1

Trigonometry Test 10
Graph. ( 4 pts. for 1 and 3 pts. each)
1) y = 1 – sin 2 ( x +

)
4
3) y = 3 + sec
3
x
4
5) y = –2 – 3 cot 5x
Name the amplitude, the period, the vertical translation and the phase shift.
6 - 7) y = -3 - 4 Sin ( 3x –
2
)
3
amp =
per.=
ver. tran =
ps =
Use the trig. pythagorean identities to find the other five functions of x given the
following. (4 pts.)
8 - 9) Cos x =
5
, quadrant 4
13
,
Use the identities to get an equivalent expression involving only sin and cos and
simplify.
Sec 2 x
10) Sec x + Tan x
11) Tan 2 x 
Csc 2 x
Perform the indicated operation and simplify the result.
12)
1
1

1  Cos x 1  Cos x
Show the following to be true.
13)
Sin 2 x
 Sin x Csc x
Cos 2 x
14)
16)
Sin 2 x
 Sec x  Cos x
Cos x
15) Cos2 x( Tan2 x + 1 ) = 1
Csc x Secx
 Sec 2 x
Cot x
Factor.
17) 2 Tan2x + 9 Tan x – 18
Write in terms of the cofunction.
19) Tan 78 32'
20) Sin 5π
8
18)
3 Sec2x – 14 Sec x + 15
Use the cofunction identities to find the angle x.
21) Cot (3x – 10) = Tan (2x + 15)
True or false. (Use the sum and difference identities to determine)
22) Cos 35 Cos 55 - Sin 35 Sin 55 = Cos 90
22a) Cos





 Cos
 Sin
= Cos
– Sin
12
4
12
3
4
Use the sum or difference identity and the table to find the value of the following.
23) Cos 255
25) Cos 65 Cos 55 - Sin 65 Sin 55
24) Cos (-15)
25a) Cos 190 Cos 40 + Sin 190 Sin 40