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tan4x=1 solve the trigonometric equation

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Solve the trigonometric equation. Write your answer inn general solution form.

asked Dec 5, 2013 in TRIGONOMETRY by skylar Apprentice

1 Answer

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The trigonometric equation tan(4x) = 1

tan(4x) = tan(45)

tan(4x) = tan(π/4)

The genaral solution of tan(x) = tan(α) is x = nπ + α, where n is an integer.

4x = π/4 + nπ

Solution : x = π/16 + nπ /4

For n = 0

x = π/16

For n = 1

x = 5π/16

answered Aug 23, 2014 by david Expert

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