Question

How do I do this and show work

Answer 1

We are given the expression:

`(√(2) )/(3) = -(2)/(3) Sin\theta`

`√(2)} = -2 Sin\theta` [multiplying both sides by 3]

`Sin\theta = (√(2))/(-2)` [Dividing both sides by -2]

`Sin\theta = (-1)/(√(2))`

which means:

`\theta = Sin^(-1)((-1)/(√(2)) )`

`\theta = -Sin^(-1)((1)/(√(2)) )`

θ = -45° [because
`Sin^(-1)((1)/(√(2)))` = 45°]

Hence, the answer is -45° OR (360-45) = 315°