Trigonometry Review Sheet
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1
2TRIGONOMETRY REVIEW SHEET
θ
θ
θ
(cos
,
sin
,
tan
)
(-, +, -)
(+, +, +)
(-, -, +)
(+, -, -)
Fundamental Identities:
opp
.
hyp
.
r
y
1
sinθ =
=
cscθ =
=
=
θ
hyp
.
opp
.
y
r
sin
adj
.
x
1
hyp
.
r
=
=
cosθ =
=
secθ =
θ
hyp
.
r
cos
adj
.
x
opp
.
y
1
adj
.
x
=
=
=
tanθ =
cotθ =
θ
adj
.
x
tan
opp
.
y
θ + cos
θ = 1
2
2
sin
θ + 1 = sec
θ
2
2
tan
θ + 1 = csc
θ
2
2
cot
Negative Angle Identities:
sin (-θ) = -sinθ
csc (-θ) = -cscθ
cos (-θ) = cosθ
sec (-θ) = secθ
tan (-θ) = -tanθ
cot (-θ) = -cotθ
Addition and Subtracting Identities:
Addition and Subtracting Identities:
+
tan
A
tan
B
sin (A + B) = sinA cosB + sinB cosA
sin (A + B) = sinA cosB + sinB cosA
tan (A + B) =
tan (A + B) =
−
1
tan
A
tan
B
cos (A + B) = cosA cosB - sinA sinB
−
tan
A
tan
B
sin (A - B) = sinA cosB - sinB cosA
tan (A - B) =
+
1
tan
A
tan
B
cos (A - B) = cosA cosB + sinA sinB
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