Cos (-Ø) = √3/3 sinØ <0 what is the value of sinØ?

sin∅ = - √6/3

Step-by-step explanation:

Trigonometric function cos is even function which mean:

cos (-∅) = cos ∅

Trigonometric function sin is odd function which mean:

sin (-∅) = - sin∅ = > sin∅ < 0

The basic trigonometric equation reads in this case with angle marked ∅:

sin²∅ + cos²∅ = 1 = > sin²∅ = 1 - cos²∅ = > sin²∅ = 1 - (√3/3) ² = >

sin²∅ = 1 - (3/9) = > sin²∅ = 1 - (1/3) = (3/3) - (1/3) = 2/3 = > sin∅ = - √ (2/3) = >

sin∅ = - √2/√3 = > sin∅ = - √6/3

God with you!