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Formula sheet include fundamental identities, Pythagorean, reciprocal, odd, even, sum, difference, half angle and double angle relations.
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Circle:
2 2 2 x + y = r sin
y
r
θ = cos
x
r
θ =
sin tan cos
y
x
θ θ = = θ
Pythagorean Relations
2 2 cos θ + sin θ = 1
2 2 1 + tan θ = sec θ
2 2 1 + cot θ = csc θ
csc sin
θ = θ
sin csc
θ = θ
csc x sin x
sec cos
θ = θ
cos sec
θ = θ
sec x cos x
cot tan
θ = θ
tan cot
θ = θ
cot x tan x
sin( −θ) = − sinθ tan( −θ ) = − tanθ cos( −θ) = cosθ
csc( −θ) = − cscθ cot( −θ) = − cotθ sec( −θ ) = secθ
sin( A + B ) = sin A cos B + cos A sin B sin( A − B ) = sin A cos B −cos A sin B
cos( A + B ) = cos A cos B − sin A sin B cos( A − B ) = cos A cos B + sin A sin B
tan tan tan( ) 1 tan tan
tan tan tan( ) 1 tan tan
s i n 2 θ = 2sin θ cosθ
1 cos sin 2 2
θ − θ = ±
2 2
2
2
cos2 cos sin
2 c o s 1
1 2sin
θ = θ − θ
= θ −
= − θ
1 cos cos 2 2
θ + θ = ±
2
2tan t a n 2
1 tan
θ θ =
− θ
1 cos tan 2 sin
θ
2 1 c o s 2 sin 2
− θ θ =
sin
1 cos
2 1 c o s 2 cos 2
1 cos
1 cos
− θ = ±