Question

Find the exact value of sin 0

Answer 1

C.) 12/13

Explanation:

In a right angle triangle MN = 12, ON = 5 and; angle N = 90°

Now,

For hypotenuse we will use Pythagorean Theorem

(MO)² = (MN)² + (ON)²

(MO)² = (12)² + (5)²

(MO)² = 144 + 25

(MO)² = 169

MO = √169

MO = 13

now,

Sin O = opp÷hyp = 12÷13

Answer 2

12/13

Explanation:

First we must calculate the hypotenus using the pythagoran theorem

• 5²+12² = (MO)²
• MO =
  `\sqrt{5^(2)+12^(2) }`
• MO = 13

Now let's calculate sin0

• sin O = 12/13

So the exact value is 12/13