Question

what is the value of sin 60​

Answer 1

Answer:

-0.3048106211

step by step explanation

Answer 2

sin60°=3‾√2
sin
⁡
60
°
=
3
2


It is so because in an equilateral triangle all the angles are of 60°
60
°
and all sides are equal so when we draw an angle bisector it bisects angle to 30°
30
°
and perpendicular bisects its opposite side.


Let sides of equilateral triangle be 2
2
a
(before bisecting it)

perpendicular(p)2+base(b)2=hypotenuse(h)2
perpendicular(p)
2
+
base(b)
2
=
hypotenuse(h)
2


=ℎ2−2‾‾‾‾‾‾‾√
p
=
h
2
−
b
2


=42−2‾‾‾‾‾‾‾‾√
p
=
4
a
2
−
a
2


=32‾‾‾‾√=3‾√
=
3
a
2
=
a
3



[Math Processing Error]

=3‾√2
=
a
3
2
a


So, the value of sin 60° is
So, the value of sin 60° is


3‾√2
3
2


[Math Processing