Asked by Thule
Genral solution of:
2tan x + 3=0
Solve for x if:
2tan x +3 =0 and x E[-180;180]
2tan x + 3=0
Solve for x if:
2tan x +3 =0 and x E[-180;180]
Answers
Answered by
Reiny
2tanx = -3
tanx = -3/2
x must be in quadrants II or IV
angle in standard position , tan^-1 (3/2) = 56.3°
so x = 180-56.3 = 123.7° or
x = 360 - 56.3 = 303.7°
general solution
x = 123.7 + 180k or x = 303.7 + 180k, where k is an integer.
for the second part, 303.7 is clearly too large
but 123.7-180 = -56.3° will work
check: 2tan (-56.3) + 3 = 0.0011 , close enough
tanx = -3/2
x must be in quadrants II or IV
angle in standard position , tan^-1 (3/2) = 56.3°
so x = 180-56.3 = 123.7° or
x = 360 - 56.3 = 303.7°
general solution
x = 123.7 + 180k or x = 303.7 + 180k, where k is an integer.
for the second part, 303.7 is clearly too large
but 123.7-180 = -56.3° will work
check: 2tan (-56.3) + 3 = 0.0011 , close enough
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