maths82 maths82

01-03-2020
Mathematics

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I got pi over 9 for an answer but I don’t understand how to get the rest of them

I got pi over 9 for an answer but I dont understand how to get the rest of them class=

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PollyP52 PollyP52

01-03-2020

Answer:

π/9, 4π/9, 7π/9 (0 ≤ O < π)

Step-by-step explanation:

sin 3O - √3 cos 3O = 0

Adding √3 cos 3O to both sides:

sin 3O = √3 cos 3O

Divide both sides by cos 3O:

sin 3O / cos 3O = √3

tan 3O = √3

3O = π/3 , 4π/3, 7π/3

So O = π/9, 4π/9, 7π/9.

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