Here are
sixteen Trigonometric Identities:
SIN = Sine
COS = Cosine
TAN = Tangent
CSC = CoSecant
SEC = Secant
COT = CoTangent
#1
1
SIN Θ = -----
CSC Θ
#2
1
COS Θ = -----
SEC Θ
#3
SIN Θ
TAN Θ = -----
COS Θ
#4
COS Θ 1
COT Θ = ----- = -----
SIN Θ TAN Θ
#5
1
SEC Θ = -----
COS Θ
#6
1
CSC Θ = -----
SIN Θ
#7
SIN2 Θ + COS2 Θ = 1
#8
SEC2 Θ = 1 + TAN2 Θ
#9
CSC2 Θ = 1 + COT2 Θ
#10
SIN2 Θ = ½ ( 1 - COS 2Θ )
#11
COS2 Θ = ½ ( 1 + COS 2Θ )
#12
SEC2 Θ = 1 + TAN2 Θ
#13
CSC2 Θ = 1 + COT2 Θ
#14
SIN Θ COS Θ = ½ SIN 2Θ
#15
COS 2Θ = COS2 Θ - SIN2 Θ
#16
2 TAN Θ
TAN 2Θ = ----------
1 - TAN2 Θ
These
trigonometric identities are particularly useful in the
electronics
field.