Six Trig Finctions

Mehr dazu

FingerGestures

von Mike Ton

MATH 171 (Chapter Summary)

von Cindy Shin

Calculus II

von Ashot Hayrapetyan

Categories of grammar

von LEONEL ARIZA BALLEN

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