The value of the sin theta will be equal to [tex]Sin\theta =\sqrt{\dfrac{2}{3}}[/tex]
What is trigonometry?
The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.
Given that:-
- Cos[tex]\theta[/tex] = √3/3
- Sin[tex]\theta[/tex] <0
The value of Sin will be calculated as:-
[tex]Sin^2\theta +Cos^2\theta = 1\\\\Sin^2\theta + \dfrac{\sqrt{3}}{2}=1\\\\Sin^2\theta = 1 -\dfrac{1}{3}\\\\Sin\theta = \sqrt{\dfrac{2}{3}}[/tex]
We can see that the value of sin is less than zero therefore
To know more about Trigonometry follow
https://brainly.com/question/24349828
#SPJ1
