Kategorie: Wszystkie - functions - trigonometry - angle - ratios

przez Brayden Adair 10 lat temu

302

Six Trig Finctions

Trigonometric functions are fundamental concepts in mathematics, essential for various applications in science and engineering. These functions include sine, cosine, tangent, secant, cosecant, and cotangent, each with unique properties and relationships.

Six Trig Finctions

Six Trig Finctions

Tan

Y/X
Half Angle: tan^2 u=1-cos(2u)/1+cosine(2u)
Reciprocal: tan u=1/cot u
Pythagorean: 1+tan^2u=sec^2u

Cosine

X/r
Half Angle: cosine^2 u=1+cosine(2u)/2
Reciprocal: cos u=1/sec u

Sine

Y/r
Half Angle: sine^2 u=1-cosine(2u)/2
Reciprocal: sine u=1/cosine u

Subtopic

Pythagorean: sine^2 u + cosine^2u=1

Cotangeant

X/Y
Reciprocal: cot u = 1/tan u
Pythagorean: 1 + cot^2 u = csc^2 u

Secant

r/X
Reciprocal: sec u = 1/ cos u
Pythagorean: sec^2 u = 1 + tan^2 u

Cosecant

r/Y
Reciprocal: csc u = 1/sin u
Pythagorean: csc^2 u = 1 + cot^2 u