Trigonometry – Trigonometry, Foerster 3rd Edition
Ch3ReviewWS 11/10/2018
Do Not Write
on this
Worksheet
Chapter 3 Review
1) Determine if the statement is true or false. State the property used.
a)
1sincos 22
f)
)18(csc)18(sec
b)
ysinxsinycosxcos)yx(cos
g)
xsec
1
xcsc
c)
22 sec1csc
h)
xcos
xsin2
)x2(sin
d)
)75(tan)15(cot
i)
xcos
xsin
xtan
e)
xcos1)x2(cos 2
j)
ysinxsin)yx(sin
2) Find the exact values of the following using sum and difference formulas.
a)
)15(sin
b)
)165(cos
c)
)15(tan
d)
)75(cos
3) If
13
10
Asin
and A is in Quadrant II, find the exact values of the following:
(Do your preliminary work first, i.e., determine
A.cos
)
a)
)A2(sin
b)
)A2(cos
c)
)A2(tan
(use parts a) and b) to determine the value)
4) Verify the double argument property by substituting
90
for A.
a)
AcosAsin2)A2(sin
b)
AsinAcos)A2(cos 22
5) Prove the following identities.
a)
1xsin2xcosxsin 222
b)
xcot1
xcot2
)x2(sin 2
c)
1)x2(cosxsin2 2
d)
xsecxcotxcscxtan 2222
e)
xsin
2
xcos
