Asked by Anonymous
Solve tan theta = sqrt 3 where 180<theta<270 degrees.
arctan sqrt 3 = 60 degrees (on calculator)
So would you just add 180 degrees to 60 degrees and get that it is 240 degrees in that quadrant?
Thanks!
arctan sqrt 3 = 60 degrees (on calculator)
So would you just add 180 degrees to 60 degrees and get that it is 240 degrees in that quadrant?
Thanks!
Answers
Answered by
Bosnian
tan 60° = √3
Use trigonometric identity:
tan ( 180° + x ) = tan x
In this case x = 60°
tan ( 180° + 60° ) = tan 60°
tan 240° = tan 60°
tan 240° = √3
so θ = 240°
Use trigonometric identity:
tan ( 180° + x ) = tan x
In this case x = 60°
tan ( 180° + 60° ) = tan 60°
tan 240° = tan 60°
tan 240° = √3
so θ = 240°
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