Download WS 2 Sec. 3.3

Name
Date
HL Trigonometry
WS 2: Sec. 3.1
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Use the fundamental identities to find the value of the trigonometric function.
1) Find tan a if sin a = 2- and a is in quadrant II.
4
9
2) Find sin a if cos a = and a is in quadrant IV.
3
Multiply and simplify.
3) cot x (sin x - sec x
A) cot x + csc x
B) tan x - sin x
C) cos x - csc x
D) cos x - cot x
Factor and simplify.
4) sin2x + sin2x cot2x
A) cot2x - 1
B) cot2 x + 1
C) 1
D) sin2 x + 1
C) tan 2 0
D) sec20
Use the fundamental identities to simplify the expression.
5) cos 0 - cos 0 sin2 O
A) cos 3 0
B) sin 0
1
Use the fundamental identities to find an equivalent expression involving only sines and cosines, and then simplify it.
6) sin20 + sin 0 - 1 + cos2O
6)
A +1 sin 0 cos 0
)
cos 0
B) 1 + cos2O
D)
co5s0
sin20 cosze
C) sin 0
cos20
Perform the indicated operations and simplify the result.
1
7) sec 0
sec 0
A) 1 + cot 0
8)
C) -2 tan2 0
D) sec 0 csc 0
sin 0
sin 0
1 + sin 0 1 - sin 0
A) 1 + cot 0
9)
B) sin 0 tan 0
secOsine
tan 0
8)
B) sin 0 tan 0
C) -2 tan2 0
D) sec 0 csc 0
1
A) 1 - sin 0
9)
B) 1
C) - sec 20
Prove the identity.
10) tan x + cot x = sec x csc x
D) 0
10)
2