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Which value is a solution for the equation tan x/2 = -1?

A. 5pi/4
B. 7pi/4
C. 3pi/4
D. 3pi/2

2 Answers

7 votes

Answer:

the answer is d

User AnkitSablok
by
3.6k points
5 votes

Answer:

D

Explanation:

What we have to do is to find the arc tan

x/2 = arc tan (-1)

tan is negative on the 4th and second quadrant

arc tan (-1) = 135 or 315

pi is 180 degrees

so we have;

135 is 3 pi/4

multiplied by the 2

= 6 pi/4 which is 3 pi/2

315 is 7 pi/4 which is same as 7 pi/2 when we multiply by 2

User Delfuego
by
3.8k points