Can anybody explain how i answer this question i really don't get trig equations

SinØ(TanØ+2)=3cosØ [pulling like terms out]

for the following steps The easiest 4 me is that I just plug in values between 0° and 180° for Ø and see which will help me to get equal numbers on both sides.

So, for instance if you use Ø=90°, you'll get the following, Sin90(Tan90+2)=3cos90

> 1(1+2)=3(1) ==> 3=3

so 90° is one of the solutions ur looking for.

hope this was helpful

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.