Unit 1 .5 Math terms

Domain and range for Cos-1

D: [-1,1] R: [0, π]

Domain and range for Sin-1

D: [−1,1] R: [−π2,π2]

Domain and Range for Tan-1

D: (−∞,∞) R:(−π2,π2)

What is Continuity

Does the graph continue on the domain. (all these graphs do)

Increasing/Decreasing

Goes towards positive or negative and domain

Boundedness

Does it have a Floor and ceiling

Extreme

min and max

sin-1 symmetry

Odd

Cos-1 symmetry

neither

Tan-1 symmetry

odd

what does sin-1x look like ?

what does cos-1x look like?

what does tan-1x look like?

How to find Length

Parent function

How to find Angle

Inverse

Domain and Range of cos-1(cosx)

D: (−∞,∞) R:[0,π]

Domain and Range of cos-1(sinx)

D:(−∞,∞) R:[0,π]

Domain and Range of cos(cos-1x)

D: [-1,1] R:[1,1]

sin(cos-1x)

D: [-1,1] R: [[0,π]

a

vertical Stretch

b

reciprical, horizontal shrink or stretch

c/b

Horizontal tranlation

d

Vertical translation