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chapter4.8r
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à 4.8ïReview.
äïPlease answer the following questions about identities.
â
êêëNot available in the Review Section.
éS
êêëNot available in the Review Section.
1ë Which of the following equations is an identity?
êêë A)ïsin xï=ïtan x/csc x
êêë B)ïtan xï=ï(sin x ∙ csc x)/cot x
êêë C)ïå of ç
ü
êêëNot available in the Review Section.
Ç B
2ë Which of the following equations is an identity?
êêë A)ï(1 + sin x)/tan xï=ïcos x + cot x
êêë B)ïtan x + cot xï=ïsin x ∙ csc x
êêë C)ïå of ç
ü
êêëNot available in the Review Section.
Ç A
3ë Which of the following equations is an identity?
êêë A)ï(csc x - cot x)/(sec x - 1)ï=ïtan x
êêë B)ïtan x + cot xï=ïsec x ∙ csc x
êêë C)ïå of ç
ü
êêëNot available in the Review Section.
Ç B
4êïSimplify (sin x ∙ cot x)/(cos x ∙ csc x).
êêë A)ïsin x
êêë B)ïtan x
êêë C)ïå of ç
ü
êêëNot available in the Review Section.
Ç A
# 5êïSimplify (1 + cotìx) ∙ tanìx
#êêë A)ïcosìx
#êêë B)ïsecìx
êêë C)ïå of ç
ü
êêëNot available in the Review Section.
Ç B
6êïSimplify 1 - (tan x ∙ cos x)/csc x
#êêë A)ïcosìx
#êêë B)ïsecìx
êêë C)ïå of ç
ü
êêëNot available in the Review Section.
Ç A
7ëWhich one of the following equations is an identity?
#êêë A)ïtanìx - sinìxï=ïtanìx ∙ sinìx
#êêë B)ïsecìx/(1 + cotìx)ï=ïcscìx
êêë C)ïå of ç
ü
êêëNot available in the Review Section.
Ç A
8ëWhich one of the following equations is an identity?
#êêë A)ïcotÅx - 1ï=ïcotìx ∙ cscìx
êêë B)ïsin x/(1 - cos x)ï=ïcsc x + cot x
êêë C)ïå of ç
ü
êêëNot available in the Review Section.
Ç B
9ëWhich one of the following equations is an identity?
#êêë A)ïsecìx/(1 + cotìx)ï=ïtanìx
#êêë B)ï(cos x ∙ cot x)/csc x - 1ï=ïcosìx
êêë C)ïå of ç
ü
êêëNot available in the Review Section.
Ç A
10è Simplify sin (x - 45°) using an addition formula.
êêë A)ï(sin x - cos x)/√2
êêë B)ï2∙sin x ∙ cos x
êêë C)ïå of ç
ü
êêëNot available in the Review Section.
Ç A
11è Simplify cos (π/3 - x) using an addition formula.
êêë A)ï(2∙sin x + √3∙cos x)/2
êêë B)ï(cos x + √3∙sin x)/2
êêë C)ïå of ç
ü
êêëNot available in the Review Section.
Ç B
12è Simplify tan (x - π/6) using an addition formula.
êêë A)ïtan x/(1 - tan x)
êêë B)ï(√3∙tan x - 1)/(√3 + tan x)
êêë C)ïå of ç
ü
êêëNot available in the Review Section.
Ç B
13è Prove one of the following is an identity.
#êêë A)ï1 - (cos 2x - 1)/2∙cosìxï=ïsecìx
#êêë B)ïsinì2x/(1 - cos 2x)ï=ï2∙tanìx
êêë C)ïå of ç
ü
êêëNot available in the Review Section.
Ç A
14è Prove one of the following is an identity.
#êêë A)ïcosÅx - sinÅxï=ï2∙cos x
êêë B)ïtan x + cot xï=ï2∙csc 2x
êêë C)ïå of ç
ü
êêëNot available in the Review Section.
Ç B
15è Prove one of the following is an identity.
#êêë A)ï(1 - tanìx)/(1 + tanìx)ï=ïcos 2x
#êêë B)ï(sin x - cos x)ìï=ïtan 2x
êêë C)ïå of ç
ü
êêëNot available in the Review Section.
Ç A
16êëFind the primary solutions of
êêêêïsec xï=ï2
êëA)ï2π/3, π/6êêè B)ï3π/4, π/3
êëC)ïπ/3, 5π/3êêè D)ïå of ç
ü
êêëNot available in the Review Section.
Ç C
17êëFind the primary solutions of
#êêêï4∙sinìx + 4∙sin x + 1ï=ï0
êëA)ï2π/3, π/6êêè B)ï3π/4, π/3
êëC)ïπ/3, 5π/3êêè D)ïå of ç
ü
êêëNot available in the Review Section.
Ç C