A Must Know in Trigonometry

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The Six Trigonometric Functions, Their Inverses, and the Fundamental Trigonometric Identities.

Quotient identities

COT (X) = Cos(X)/Sin(X)

TAN (X) = Sin(X)/Cos(X)

Tan(X) Function

f(x) = arctan (x)

f(x) = tan (x)

Cos(X) Function

f(x) = arccos (x)

f(x) = cos (x)

Sin(X) Function

f(x) = arcsin (x)

f(x) = sin (x)

Pythagorean Identities

1 + Cot^2(X) = CSC(x)

1 + Tan^2(x) = Sec^2(X)

Sin^2(x) + Cos^2(x) = 1

Reciprocal identities

COT (X) = 1/ TAN (X)

SEC (X) = 1/ COS (x)

CSC (X) = 1/ SIN (X)

TAN (x) = 1/ COT (X)

COS (X) = 1 /SEC (X)

SIN (X) = 1/CSC (X)

Cot(X) Function

f(x) = arccot (x)

f(x) = cot (x)

Sec(X) Function

f(x) = arcsec (x)

f(x) = sec (x)

Csc(X) Function

f(x) = arccsc (x)

f(x) = csc (x)