Answer:
4cotα=tanα
4(1/tanα)=tanα
(4/tanα)=tanα
cross multiply
=> 4=tan²α
√4=√tan²α
±2=tanα
α=arc( tan) |2|
α=63.4° ( in first quadrant)
and
α=180+63.4=243.4 in the third quadrant
since we also found a negative answer( i.e –2) then α also lies in quadrants where it gives a negative value(i.e second and fourth quadrants)
α=180–63.4=116.6° in the second quadrant
α=360–63.4=296.6 in the fourth quadrant
therefore theta( in my case, alpha) lies in all four quadrants and is equal to:
α=63.4°,243.4°,116.6°and 296.6°
Answer:
m = 9
Step-by-step explanation:
1) Find scale factor
12/8 = 3/2 = 1.5
2) 6x1.5 = 9
OR
1) Set up proportion -> 6/8 = m/12
2) Cross multiply -> 8m = 72
3) Divide both sides by 8
4) m = 9
Answer: 
Step-by-step explanation:
To find the inverse of the function 
, the first step is to replace f(x) with "y":
The second step is to solve for the variable "x":
The third step is to interchange the variables, then:
Finally, let be h(x) the inverse of the function f(x). Then, you can replace "y" with h(x). Therefore, this is:
