Common ratio, r = (3/2)/(3/20) = 10.
3/20, 3/2, 15,
4th term = 15*10 = 150
5th term = 150*10 = 1500
5th term = 1500
By definitions of the (co)tangent and cosecant function,

Turn everything into fractions with common denominators:

Recall that
, so we can simplify both sides a bit.
On the left:

On the right:

(as long as
, which happens in the interval
when
or
)
So we have





Answer:
C. The graph of g is a translation 4 units up from the graph of h.
Step-by-step explanation:
Compare values of g(x) and h(x). The graph below may make that easier.
Solution;
22 + 123 + <TSK = 180
145 + <TSK = 180
<TSK = 180 - 145
Therefore,
<TSK = 35°
Flip 15/8 to 8/15. Hope this helps