Simon G.

asked • 05/08/20

An equation is given. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate


3tan(3θ) − 1 = 0

1 Expert Answer

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Raymond B. answered • 05/08/20

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square both sides

3tan3x = 1

tan3x = 1/3

use the inverse trig function on a calculator

3x = 18.435 degrees

x = 6.145 degrees + or -180k


x=6.145, 186.145, 366.145, ... degrees

also

x=6.145-180, 6.145-360, ....

= 173.855, 353.855, .... degrees


there are an infinite number of solutions, all in the 1st and 3rd quadrants


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