Question

Find sin 60° a=1/2 b=root2 / 2 c= root 3/2 d= 2 root 3 / 3

Answer 1

C= root 3/2
Explanation:

Answer 2

Answer:

C= $\frac{\sqrt{3} }{2}$

This is because it is a right triangle defined by its angles. It is a right triangle due to its 90° angle, and the other two angles must be 30° and 60°.

And by the definition of sine: sin of an angle = (opposite leg) / hypotenuse

Opposite leg is $x\sqrt{3}$ and hypotenuse is 2x.

$x\sqrt{3} /2x$

Cancel x

Then:

sin 60 ° = $\frac{\sqrt{3} }{2}$