Question

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Answer 1

sinθ =
`(2)/(3)`

Explanation:

Using the Pythagorean identity

sin²θ + cos²θ = 1 , then

sin²θ + (
`(√(5) )/(3)` )² = 1

sin²θ +
`(5)/(9)` = 1

sin²θ = 1 -
`(5)/(9)` =
`(4)/(9)` ( take the square root of both sides )

sinθ =
`\sqrt{(4)/(9) }` =
`(2)/(3)`