Trigonometry - Mind Map

Trigonometry

Trigonometric Functions

y = sin x = Y Coordinate/Radius

y = sin^-1 x

X and Y Inverse Meanings

X is a valid function value

Y is the radians or degrees of the function

X and Y Meanings

X is the radians or degrees of the function

Y is a valid function value

y =cos x = X Coordinate/Radius

y = cos^-1 x

y = tan x = Sine/Cosine

y = tan^-1 x

y = sec x = Radius/Cosine

y = sec^-1 x

y = csc x = Radius/Sine

y = csc^-1 x

y = cot x = Cosine/Sine

y = cot^-1 x

Trigonometric Identities

Quotient Identities

Reciprocal Identities

sin θ = 1/csc θ

cos θ = 1/sec θ

tan θ = 1/cot θ

csc θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Pythagorean Identities

sin²θ+cos²θ = 1

1+ tan²θ = sec²θ

1+ cot²θ = csc²θ

Right Angle Trigonometry

SOH

Sine = Opposite/Hypotenuse

CAH

Cosine = Adjacent/Hypotenuse

TOA

Tangent = Opposite/Adjacent

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