Download Trigonometry Test 12

Trigonometry Test 11
Perform the indicated operation and simplify.
1)
Cos x
Sin x

Sin x 1  Cos x
Show the following to be true.
2) Cot x + Tan x = Sec x • Csc x
3)
1  Tan 2 x
 Csc 2 x
2
Tan x
Factor.
4) Tan2x + 4 Tan x – 12
5)
Write in terms of the cofunction.
Use the cofuntion identities to find the angle x.
6) Sec 24° 37'
7) Csc

8
2 Sec2x + 7 Sec x - 15
8) Cos (3x + 8) = Sin (4x – 1)
True or false. (Use the sum and difference identities to determine)
9) Sin 100° Cos 10° - Cos 100° Sin 10° = Sin 90°
9a)
Tan 25  Tan 65
 0,
1  Tan 25  Tan 65
Use one of the sum or difference identities & the table from the book to find the value.
10) Cos 75°
11) Tan 195°
12) Sin (–105°)
13) Sin 170°Cos 130° + Cos 170° Sin 130°
14)
Tan 250  Tan 70
,
1  Tan 250 Tan 70
Write each of the following as a function of x only using the sum and difference
identities.
15) Cos (120° + x)
16) Sin (270° + x)
17) Tan (180° + x)
Find Cos, Sin and Tan ( A + B ), ( A - B ) for each of the following. (16 pts.)
18 – 25) Sin A =
3
15
, Cos A =
, A is in quadrant 3 and B is in quadrant 4.
5
17