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SOH-CAH-TOA: sine	sin = opposite / hypotenuse		math-trig-identities
SOH-CAH-TOA: cosine	cos = adjacent / hypotenuse		math-trig-identities
SOH-CAH-TOA: tangent	tan = opposite / adjacent		math-trig-identities
Cosecant	csc θ = 1 / sin θ		math-trig-identities
Secant	sec θ = 1 / cos θ		math-trig-identities
Cotangent	cot θ = 1 / tan θ = cos θ / sin θ		math-trig-identities
Tangent in terms of sine and cosine	tan θ = sin θ / cos θ		math-trig-identities
Pythagorean identity	sin² θ + cos² θ = 1		math-trig-identities
Pythagorean identity with tangent	1 + tan² θ = sec² θ		math-trig-identities
Pythagorean identity with cotangent	1 + cot² θ = csc² θ		math-trig-identities
Even-odd: sin(−θ)	−sin θ (sine is odd)		math-trig-identities
Even-odd: cos(−θ)	cos θ (cosine is even)		math-trig-identities
Even-odd: tan(−θ)	−tan θ (tangent is odd)		math-trig-identities
Cofunction: sin(90° − θ)	cos θ		math-trig-identities
Cofunction: cos(90° − θ)	sin θ		math-trig-identities
Cofunction: tan(90° − θ)	cot θ		math-trig-identities
Supplementary: sin(180° − θ)	sin θ		math-trig-identities
Supplementary: cos(180° − θ)	−cos θ		math-trig-identities
Shift: sin(θ + 180°)	−sin θ		math-trig-identities
Shift: cos(θ + 180°)	−cos θ		math-trig-identities
Shift: tan(θ + 180°)	tan θ		math-trig-identities
Sum formula for sine	sin(A + B) = sin A cos B + cos A sin B		math-trig-identities
Difference formula for sine	sin(A − B) = sin A cos B − cos A sin B		math-trig-identities
Sum formula for cosine	cos(A + B) = cos A cos B − sin A sin B		math-trig-identities
Difference formula for cosine	cos(A − B) = cos A cos B + sin A sin B		math-trig-identities
Sum formula for tangent	tan(A + B) = (tan A + tan B) / (1 − tan A tan B)		math-trig-identities
Difference formula for tangent	tan(A − B) = (tan A − tan B) / (1 + tan A tan B)		math-trig-identities
Double-angle: sine	sin 2θ = 2 sin θ cos θ		math-trig-identities
Double-angle: cosine	cos 2θ = cos² θ − sin² θ		math-trig-identities
Double-angle: cosine (other form 1)	cos 2θ = 1 − 2 sin² θ		math-trig-identities
Double-angle: cosine (other form 2)	cos 2θ = 2 cos² θ − 1		math-trig-identities
Double-angle: tangent	tan 2θ = 2 tan θ / (1 − tan² θ)		math-trig-identities
Power reducing: sin² θ	(1 − cos 2θ) / 2		math-trig-identities
Power reducing: cos² θ	(1 + cos 2θ) / 2		math-trig-identities
Half-angle: sin(θ/2)	±√((1 − cos θ) / 2)		math-trig-identities
Half-angle: cos(θ/2)	±√((1 + cos θ) / 2)		math-trig-identities
Product to sum: sin A cos B	½[sin(A + B) + sin(A − B)]		math-trig-identities
Product to sum: cos A cos B	½[cos(A − B) + cos(A + B)]		math-trig-identities
Law of sines	a / sin A = b / sin B = c / sin C		math-trig-identities
Law of cosines	c² = a² + b² − 2ab cos C		math-trig-identities
Area of a triangle with trig	½ ab sin C		math-trig-identities
Arc length formula (radians)	s = rθ		math-trig-identities
Sector area formula (radians)	A = ½ r² θ		math-trig-identities
Degrees to radians	Multiply by π/180		math-trig-identities
Radians to degrees	Multiply by 180/π		math-trig-identities
Amplitude of y = A sin(Bx)	|A|		math-trig-identities
Period of y = A sin(Bx)	2π / |B|		math-trig-identities
Phase shift of y = sin(x − C)	C units to the right		math-trig-identities
Inverse sine range	−π/2 to π/2		math-trig-identities
Inverse cosine range	0 to π		math-trig-identities
Inverse tangent range	−π/2 to π/2 (not including the ends)		math-trig-identities
Euler's formula	e^(iθ) = cos θ + i sin θ		math-trig-identities
Euler's identity	e^(iπ) + 1 = 0		math-trig-identities
De Moivre's theorem	(cos θ + i sin θ)ⁿ = cos nθ + i sin nθ		math-trig-identities