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Unformatted text preview: θ 1
sin θ
1
sec θ =
cos θ
1
cot θ =
tan θ
csc θ = sin 2 θ + cos 2 θ = 1 sin θ
tan θ =
cos θ
cot θ = sin θ = 5
13 tan 2 θ + 1 = sec2 θ cos θ
sin θ cot 2 θ + 1 = csc2 θ
θ a) cos 2 θ = 1 − sin 2 θ
5
= 1−
13
cos 2 θ = 2 = 1− 25 169 25 144
=
−
=
169 169 169 169 144
144
12
=−
, θ in Q2 → cos θ = −
169
169
13 −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−
5
sin θ
13 5
5
b) tan θ =
= 13 = − ⋅ = −
12
cos θ
12 13
12
−
13
−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−
1
1
12
=
=−
5
tan θ
5
−
12
−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− c) cot θ = 1
1
13
=
=−
12
cos θ
12
−
13
−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− d) sec θ = e) csc θ = 1
1
13
=
=
sin θ 5
5
13 ...
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This note was uploaded on 11/16/2011 for the course MAC 1114 taught by Professor Cohen during the Fall '09 term at Santa Fe College.
 Fall '09
 COHEN
 Trigonometry

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