Helen's Blog #2

A. Sine and Cosine are kind of similar. To find cosine you would flip sine.

Sin 0=0 Cos 0= 1
Sin PI/6= 1/2 Cos PI/6=√3/2
Sin PI/4= √2/2 Cos PI/4=√2/2
Sin PI/3=√3/2 Cos PI/3=1/2
Sin PI/2=1 Cos PI/3=0

B. Tangent and Cotangent. To find tangent you divide sine/cosine. To find cotangent you would just flip tangent.

Tan 0=0 Cot 0= undefined
Tan PI/6= √3/3 Cot PI/6 = √3
Tan PI/4= 1 Cot PI/4 = 1
Tan PI/3= √3 Cot PI/3 = √3/3
Tan PI/2= undefined Cot PI/2 =0

C. Sine and Cosecant. To find cosecant you take the reciprocal sine.

Sin 0=0 Csc 0= undefined
Sin PI/6= 1/2 Csc PI/6= 2
Sin PI/4= √2/2 Csc PI/4= 1
Sin PI/3=√3/2 Csc PI/3= 2 √3/3
Sin PI/2=1 Csc PI/3=1

D. Cosine and Secant. To find secant you just take the reciprocal of cosine.

Cos 0= 1 Sec 0 = 1
Cos PI/6=√3/2 Sec PI/6 = 2√3/2
Cos PI/4=√2/2 Sec PI/4 = √2
Cos PI/3= ½ Sec PI/3 = 2
Cos PI/2= 0 Sec PI/2 = undefined

E. Sine, Cosine, and Tangent. To find cosine you flip sine and to find tangent, divide sine/cosine.

Sin 0=0 Cos 0=1 Tan 0=0
Sin PI/6=1/2 Cos PI/6=√3/2 Tan PI/6=√3/3
Sin PI/4= √2/2 Cos PI/4 =√2/2 Tan PI/4=1
Sin PI/3=√ 3/2 Cos PI/3=1/2 Tan PI/3=√ 3
Sin PI/2=1 Cos PI/2=0 Tan PI/2= undefined