Solve For Θ
0 ≤ Θ < 360
Let's see...
tan^4(θ) = 9
tan^2(θ) = ±3
tan(θ) = ±√3
So θ = 60, 120, 240, 300
-- (tanX)^4=9
-- take fourth root of both sides
-- tanX= (9)^(1/4)
--plug into calculato: tan inverse (which is the Tan^-1 key) of 9^(1/4)...make sure you're in degress mode.
-- that'll give you 60, then you need to go around the unit circle so find the other angles, and you'll get 60, 120, 240, and 300.
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Verified answer
Let's see...
tan^4(θ) = 9
tan^2(θ) = ±3
tan(θ) = ±√3
So θ = 60, 120, 240, 300
-- (tanX)^4=9
-- take fourth root of both sides
-- tanX= (9)^(1/4)
--plug into calculato: tan inverse (which is the Tan^-1 key) of 9^(1/4)...make sure you're in degress mode.
-- that'll give you 60, then you need to go around the unit circle so find the other angles, and you'll get 60, 120, 240, and 300.