Question

Use given triangle to fill in the blank.

Answer 1

The choice second

`\sin( B) = (b)/(c)`

Explanation:

sin B = opposite/hypotenuse

Answer 2

`\sin B=\displaystyle(b)/(c)`

Explanation:

Hi there!

This is the sine ratio:

`\sin\theta=\displaystyle(opposite)/(hypotenuse)` where "opposite" is the side opposite the angle, "hypotenuse" is the hypotenuse of the right triangle and theta is the angle.

To find sin B, we must identify which sides of the triangle are the opposite side and the hypotenuse.

The side opposite to angle B would be b.

The hypotenuse is the side opposite the right angle, and that would be c.

`\sin B=\displaystyle(b)/(c)`

I hope this helps!