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Includes: Definition of Trig Functions, Trig Functions on the Unit Circle, Reciprocal Trig Identities, Quotient Identities, Pythagorean Identities, Double Angle Identities, Sum and Difference Identities
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sin θ
opp/hyp
cos θ
adj/hyp
tan θ
opp/adj
csc θ
hyp/opp
sec θ
hyp/adj
cot θ
adj/opp
sin θ (on the unit circle)
y
cos θ (on the unit circle)
x
tan θ (on the unit circle)
y/x
csc θ (on the unit circle)
1/y
sec θ (on the unit circle)
1/x
cot θ (on the unit circle)
x/y
sin θ (reciprocal trig identities)
1/(csc θ)
cos θ (reciprocal trig identities)
1/(sec θ)
tan θ (reciprocal trig identities)
1/(cot θ)
csc θ (reciprocal trig identities)
1/(sin θ)
sec θ (reciprocal trig identities)
1/(cos θ)
cot θ (reciprocal trig identities)
1/(cot θ)
tan θ (quotient identities)
(sin θ)/(cos θ)
cot θ (quotient identities)
(cos θ)/(sin θ)
sin2 θ + cos2 θ
1
1 + cot2 θ
csc2 θ
tan2 θ + 1
sec2 θ
sin(2θ)
2(sinθ)(cosθ)
cos(2θ)
cos2 θ - sin2 θ
cos(2θ)
1 - 2sin2 θ
cos(2θ)
2cos2 θ - 1
sin(α ± β)
sin(α) cos(β) ± cos(α) sin(β)
cos(α ± β)
cos(α) cos(β) ∓ sin(α) sin(β)