カテゴリー 全て - identities - functions - domain - range

によって Doris Cruz 5年前.

670

A Must Know in Trigonometry

The six trigonometric functions—sine, cosine, tangent, secant, cosecant, and cotangent—are fundamental in mathematics, each with unique properties, domains, and ranges. Their inverses, such as arcsine, arccosine, and arctangent, also play crucial roles, often in calculus and geometry.

A Must Know in Trigonometry

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)