solve for x. Sin (x)= 2/7

Answer 1

Hi Jordan! To solve this, you would take the inverse sin of both sides, sin^-1:

sin(x) = 2/7

sin^-1(sin(x)) = sin^-1(2/7)

sin^-1 and sin cancel, leaving you with

x = sin^-1(2/7)

Now, at this stage, you simply input this into a calculator. There should be a sin^-1 on your calculator for class!

Hope this helps,

Cooper The Tutor

Answer 2

x = sin^-1(2/7) + 2πn or x = π - sin^-1(2/7) + 2πn, n = 0,±1,±2, . . .