57/40=14.25
14.25x100=142.5
d=142.5 feet
is in quadrant I, so
.
is in quadrant II, so
.
Recall that for any angle
,

Then with the conditions determined above, we get

and

Now recall the compound angle formulas:




as well as the definition of tangent:

Then
1. 
2. 
3. 
4. 
5. 
6. 
7. A bit more work required here. Recall the half-angle identities:



Because
is in quadrant II, we know that
is in quadrant I. Specifically, we know
, so
. In this quadrant, we have
, so

8. 
Answer:
6
Step-by-step explanation:
cassie is going up 3 and then down 5
8 + 3=11
11-5= 6
Answer:
The least common denominator is 6.
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
f(x)=3 x-2
y= 3 x-2
x= 3y - 2
3 y -2 = x
3 y -2 + 2 = x + 2
<u>3 y </u> = <u>x </u> + <u>2</u>
3 3 3
<u>3 y </u> = <u>x </u> + <u>2 </u>
3 3 3
y = <u>x </u> + <u>2 </u> replace y with f ^ -1(x)
<em> </em> 3 3
f ^-1 (x) = <u>x</u> + <u>2 </u>
3 3