Kategoriak: Guztiak - functions - trigonometry - angle - ratios

arabera Brayden Adair 10 years ago

331

Six Trig Finctions

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