Question

Solve for Θ in the equation tan Θ = 2.42 when
180º < Θ < 360º. Round to nearest tenth of degree.

Answer 1

on your calculator
take 2.42 and inverse tan
that will give you the degrees of theta but it will not satisfy
180< x< 360

add 180 to that

now you should be ok

check by taking the tangent oh that

Answer 2

1.) theta is an angle, so we use arc functions to get angle
arctan (2.42)= 67.55 degrees

2.)Since tan period is pi
67.55 degrees+180 degrees= 247.55 degrees
answer= 247.55 degrees