Kategoriak: All - inverse - identities - functions - trigonometry

arabera Cessabella Astraquillo 2 years ago

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Trigonometry!

Trigonometry!

SOH-CAH-TOA

Trigonometry!

title here

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