5.7 Quiz

inverse

switching positions of x and y variable

arc, ^-1

two things that signal an inverse

to make them a function

why are the range of the graphs restricted?

QI, QIV

for inverses, which quadrants are sin in?

QI, QII

for inverses, which quadrants are cos in

QI, QIV

for inverses, which quadrants are tan in

valley between mountains

what does cos curve look like?

mountain, valley

what does sin curve look like?

stretched out s

what does tan curve look like?

an axis

if it's sin or cos (1, -1, or 0), where is the point?

y/r

sin is = to

x/r

cos is = to

y/x

tan is = to

30-60-90 and 45-45-90

what triangles are we working with?

1

arccos (1/2), x = ?

what angle has [trig function] of [number]

what are we looking for when solving for inverses?

150 degrees

if arccos (-√3/2), then what is exact value of the angle?

cos = x/r, so x=-√3 and r=2 which means it's a 30-60-90 triangle and x is - so it's in QIII. the triangle is 30 degrees, but the angle is 150

why is arccos (-√3/2)'s exact value 150 degrees?

draw triangle of cos (-pi/6) and find arccos from there

how to find arccos(cos (-pi/6))?

convert to fraction - 6/10 and 3/10

what if there's a 0.6 or 0.3?