Question

BRAINLIESTTT ASAP! PLEASE HELP ME :)

Answer 1

Answer:  Choice A)   45 + k*90

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Work Shown:

2*tan(x) = 2*cot(x)

2*tan(x) = 2*(1/tan(x))

2*y = 2*(1/y) .... let y = tan(x)

2y = 2/y

2y^2 = 2

2y^2 - 2 = 0

2(y^2 - 1) = 0

y^2 - 1 = 0

(y+1)(y-1) = 0

y+1 = 0 or y-1 = 0

y = -1 or y = 1

tan(x) = -1 or tan(x) = 1

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If tan(x) = -1 then x = 135 or x = 315

If tan(x) = 1, then x = 45 or x = 225

This is for $0 \le x \le 360$

In more general terms,

x = 45 + k*90

where k is an integer.