Question

How do you solve: `tan x = 4.5`?

Answer 1

Solve `tan x = 4.5`
First, calculator gives first answer: `x_1 = 77.47^o`.
Then, trig unit circle gives another arc that has the same tan value `(4.5): x_2 = 180 + 77.47 = 257.47^o`
Within interval `(0, 180^o)`, there are 2 answers: `x_1 = 77.47^o` and `x_2 = 257.47^o`.
Extended answers: `x = 77.47 + k*180.` (`k` is a whole number)
graph{x^2 + y^2 = 16 [-10, 10, -5, 5]}