Question

3 tan 3 ѳ - sqrt 3 = 0 given that 0<= ѳ <= 360

Answer 1

see explanation

Explanation:

Given

3tan3Θ -
`√(3)` = 0 ( add
`√(3)` to both sides )

3tan3Θ =
`√(3)` ( divide both sides by 3 )

tan3Θ =
`(√(3) )/(3)`, then

For 3 Θ we require to go round the unit circle 3 times, that is

0 ≤ 3Θ ≤ 1080

Since tan3Θ > 0 then Θ in first/ third quadrants

3Θ = 30, 210, 390, 570, 750, 930 ( divide by 3 )

Θ = 10, 70, 130, 190, 250, 310 for 0 ≤ Θ ≤ 360