Question

Mike is using a telescope to view three stars. He notes the distances and angles between the lines joining the stars, as shown below.

Which expression shows the distance between Star 1 and Star 3?

y cosec x°

y over sec x degrees

y sec x°

y over cot x degrees

Answer 1

distance between star 1 and star 3 = AC

tan x = opposite side / adjacent side
in triangle ABC
tan x = AC / AB
= AC / y

AC = y tan x

hope this will help ya !

Answer 2

also...
cot x = 1/tan x
there for
1/cot x = tan x
which mean
y tan x = y / cot x