Six Trigonometric Functions

Pythagorean Identities

sin2u+cos2u=1

1+tan2u= sec2u

1+cot2u= csc2u

Sine

Sin= opposite/hypotenuse

The reverse of Sin is Csc

Sine is abbreviated Sin

The reciprocal of Sin is 1/csc

Cosecant

Csc= hypotenuse/opposite

Cosecant is abbreviated Csc

The reciprocal of Csc is 1/sin

Tangent

Tan= opposite/adjacent

The reverse of Tan is Cot

Tangent abbreviated is Tan

Reciprocal of Tan 1/cot

Tan= sin/cos

Quotient Identity

Cosine

Cos= adjacent/hypotenuse

The reverse of Cos is Sec

Cosine is abbreviated Cos

The reciprocal of Cos is 1/sec

Secant

Sec= hypotenuse/adjacent

Secant is abbreviated Sec

The reciprocal of Sec is 1/cos

Cotangent

Cot= adjacent/opposite

Cotangent is abbreviated Cot

Reciprocal of Cot is 1/tan

Cot= cos/sin

Quotient Identity