Trigonometry!

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Quotient Identities

cot = cos/sin

tan = sin/cos

Basic Trigonometric Functions (super important)

Cotantgent

Abbreviation: COT

Cotangent is the reciprocal function of tangent.

Secant

Abbreviation: SEC

Secant is the reciprocal function of cosine.

(H/A)

Inverse: Arcsec or sec^-1

Cosecant

Abbreviated: CSC

Cosecant is the reciprocal of the sine function.

(H/O)

Inverse: Arccsc or csc^-1

Tangent

Abbreviated- TAN

Used to determine the ratio of a side opposite and a side adjacent of a given angle

(O/A)

Inverse: Arctan or Tan^-1

Cosine

Abbbreviated- COS

Used to determine the ratio of a side adjacent to a given angle

(A/H)

Inverse: Arccos or Cos^-1

Sine

Abbreviated: SIN

Used to determine the ratio of a side opposite of a given angle

(O/H)

Inverse: Arcsin or Sin^-1

Pythagorean Identities

1 + cot^2 = csc^2

1 + tan^2 = sec^2

sin^2 + cos^2 = 1

Even/Odd Identities

cot(-x) = -cot x

sec(-x) = -sec x

csc(-x) = -csc x

tan(-x) = -tan x

cos(-x) = -cos x

sin(-x) = -sin x

Reciprocal Identities

1/tan = cot 1/cot = tan

1/cos = sec 1/sec = cos

1/sin = csc 1/csc = sin