The value of sin 30°=1/2.
What is special right triangle?
The special right triangle is the triangle used to know the side ratio without using Pythagoras theorem every time.
There are some types of special right triangles present like 30-60-90 triangle, 45-45-90 triangles, and the Pythagorean triple triangles.
Here for deriving the value for sin 30°, we will use the 30-60-90 triangle.
The 30-60-90 triangle is given below.
the value sine is calculated by the ratio of the opposite side and the hypotenuse of the right-angled triangle.
In 30-60-90 triangle the side opposite to 30° angle is x and the hypotenuse is 2x then the side opposite to 60° angle is x√3.
In 30-60-90 triangle,
sin 30°=opposite side/hypotenus
= x/2x
⇒sin 30°=1/2
Therefore, the value of sin 30°=1/2.
Learn more about the special right triangle
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