"Find the value of sin60." was answered by our community

Algotssleeddynf

Answered question

2021-12-14

Find the value of sin60.

Edward Patten

Beginner2021-12-15Added 38 answers

Consider a triangle and cut a slice of it
From the Pyhagoras theorem

a^{2} = h^{2} + \frac{a^{2}}{4}

h^{2} = a^{2} - \frac{a^{2}}{4} = \frac{3}{4} a^{2}

So,

h = a \sqrt{\frac{3}{4}} = a \frac{\sqrt{3}}{2}

Now, from trigonometry:

h = a \sin 60

a \frac{\sqrt{3}}{2} = a \sin 60

\Rightarrow \sin 60 = \frac{\sqrt{3}}{2}

Orlando Paz

Beginner2021-12-16Added 42 answers

\sin 60 = \frac{\sqrt{3}}{2}

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