Trig questions help me please!!??

Question

if sin x = 1/2

what is cos x?

if sin x = 1/3

what is tan x?

if cos x = 4/5

what is cot x?

if sec x = 13/5

what is csc x?

please show your work. thanks!!!

Answer 1

Sin(X)=1/2

Take the inverse of Sin() on both sides to solve for X

Sin-1(Sin(X))=Sin-1(1/2)

You'll get something like this

.5235987756 or (Pie)/6

Than just plug X into Cos(X)

Do the same for Sin(X)=1/3

Cos-1(Cos(X))=Cos-1(4/5)

X=Cos-1(4/5)

Cot(X)=1/Tan(X)

Cot(X)=1/Tan(Cos-1(4/5))

Also make sure to consult the unit circle for help.

Answer 2

Do you know the unit circle?

If so then when does the sin of x equal 1/2?