Intro to Trig-Inverse Trig Review

Domain

100

Why do we have to restrict the domain of a function?

So it can become one-to-one

200

In order for the function y = cos x to have an inverse, the domain must be restricted to ....

[ 0, π ]

300

In order for the function y = sin x to have an inverse, the domain must be restricted to ....

[ - π/2 , π/2 ]

400

In order for the function y = tan x to have an inverse, the domain must be restricted to ....

[ - π/2 , π/2 ]

The Unit Circle

100

How many quadrants does the unit circle have?

4

200

In what quadrant can the inverse trig function , y=arctan x, exist?

Quadrant I and IV

300

In what quadrant can the inverse trig function , y=arccos x, exist?

Quadrant I and II

400

In what quadrant can the inverse trig function , y=arcsin x, exist?

Quadrant I and IV

Inverse Trig Values

100

cos^-1(-1) = 

π

200

arccos(0)=

π/2

300

arccos(-1/2)=

2π/3

400

sec(arctan(-15/8))=

17/8

Exact Trig Values

100

What is the exact value of sin(5π/6)

1/2

200

What is the exact value of sec(-120^o)

-2

300

What is the exact value of csc 4π

undefined

400

What is the exact value of csc 7/6π

-2

Random Trig

100

State whether the expression is positive, negative, zero, or undefined

csc -7π

Zero

200

Convert the angle to degrees or radians.

a) 135^o

b) 5π/12

a) 3π/4

b) 75^o

300

In what quadrant is cotθ< 0 and cosθ >0

Quadrant IV

400

What the amplitude and period of y = -3 sin (1/4 x)?

amplitude is 3

period is 8π