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

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

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Answer 1 · 2015-04-17T16:15:45

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]}

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

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