Trig Identities Calculator | AllScienceTools

sin θ = 1/csc θ

csc θ = 1/sin θ

cos θ = 1/sec θ

sec θ = 1/cos θ

tan θ = 1/cot θ

cot θ = 1/tan θ

sin²θ + cos²θ = 1

1 + tan²θ = sec²θ

1 + cot²θ = csc²θ

sin(-θ) = -sin θ

csc(-θ) = -csc θ

cos(-θ) = cos θ

sec(-θ) = sec θ

tan(-θ) = -tan θ

cot(-θ) = -cot θ

sin(2θ) = 2sinθ cosθ

cos(2θ) = cos²θ - sin²θ

= 2cos²θ - 1

tan(2θ) = 2tanθ / (1 - tan²θ)

sin(α ± β) = sinα cosβ ± cosα sinβ

cos(α ± β) = cosα cosβ ∓ sinα sinβ

tan(α ± β) = (tanα ± tanβ) / (1 ∓ tanα tanβ)

sin(θ/2) = ±√[(1 - cosθ)/2]

cos(θ/2) = ±√[(1 + cosθ)/2]

tan(θ/2) = (1 - cosθ)/sinθ

Law of Sines:

a/sinA = b/sinB = c/sinC

Law of Cosines:

c² = a² + b² - 2ab cosC

Area:

Area = ½ ab sinC

sinh x = (e^x - e^-x)/2

cosh x = (e^x + e^-x)/2

tanh x = (e^x - e^-x)/(e^x + e^-x)

cosh²x - sinh²x = 1

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