The value of sin30 is [tex]\frac{1}{2}[/tex]
What is a 30-60-90 triangle?
The 30-60-90 triangle is called a special right triangle as the angles of this triangle are in a unique ratio of 1:2:3.
According to the given sum:
In theory, we know,
For a 30-60-90 triangle, the sides opposite to 30° is x , side opposite to 60° is x*[tex]\sqrt3}[/tex] and the side opposite to 90° is 2x
Therefore,
If x = 1,
The sides are [tex]\sqrt{3},2,1[/tex] where,
perpendicular = [tex]\sqrt{3}[/tex]
Base = 1
Hypotenuse = 2
We know sinФ = [tex]\frac{perpendicular}{Hypotenuse}[/tex]
But in the case of sin30 , we have to take perpendicular as 1 and hypotenuse as 2, that is the angle has to be at base. If it was sin60, we would have taken perpendicular as [tex]\sqrt{3}[/tex] and hypotenuse as 2.
Therefore,
Sin30 = [tex]\frac{1}{2}[/tex]
Hence, we can conclude that the value of sin30 is [tex]\frac{1}{2}[/tex].
Learn more about 30-60-90 triangle here:
https://brainly.in/question/10494802
#SPJ2
