Precalc 2 exam 2

Cos^-1(1/2)=

theta = pie/3

Cos^-1(-squareroot3/2)

5pie/6

Sin^-1(-1)=

Theta= -pie/2

Sin^-1(1)=pie/2

theta = pie/2

sin^-1(0)=

0

sin^-1(cos(7pie/6))=

ns

Sin^-1(-1/squareroot2) =

-pie/4

sin^-1(1/2)=

Pie/6

Sin^-1 (x) domain and range

Dom: [-1,1]

Range: [-pie/2, pie/2]

Sin^-1(1-2) or (-2)=

Undefined

cos(x) Domain and range

Domain: all real numbers

Range: [-1,1]

cos^-1x domain and range

dom: [-1,1]

range= [0, pie]

cos(theta)=

Cos(sin^-1(x))

tan(x) domain and range

Dom: all real numbers

Range: (-infinity, infinity)

tan^-1(x)

Dom:(-infinity, infinity)

Range: (-pie/2, pie/2)

tan^-1(-1)

pie/4

Sin(thetha)= 1

pie/2

cos²(theta)= +- 4 → +-2 → ?

No solution, cosine must be between -1 and 1

cos45=

squareroot 2/2

cos30=

squareroot3/2

Sin45=

squareroot2/2

sin30=

1/2