How do you Solve for tan4x -1 =0 ?

Question

Solve for tan4x -1 =0.

Write your answer in radians in terms of π, using the appropriate convention.

(Example: x= (1/5)π + kπ, k E z or x= (12/7)π + 2kπ, k E z .)

Answer 1

1) Add 1 to both sides.

tan4x = 1

2) Take the tan inverse of both sides.

4x = arctan(1)

3) arctan(1) equals two angels, π/4 and 5π/4.

4x = π/4 ; 4x = 5π/4

4) Solve for x.

x = π/16 ; x = 5π/16