Question

find the value of sin 60 geometrically?

Answer 1

the value of 60 geometreically in trignometry is root 3 by 2

Answer 2

Answer:

√3/2

Step-by-step explanation:

step 1: draw a equilateral triangle (all sides equal) and name ABC.

step 2: drop a altitude from ∠A to BC at D.

step 3: BD = DC = a (altitude of a equilateral triangle bisects the side).

step 3: In ∆ABD,

∠B = 60°

AB = 2a

BD = a

By Pythagoras theorem,

AD = a√3

sin θ = opposite side/hypotenuse

sin B = a√3/2a

sin 60° = √3/2