Answer:
C) [tex]\frac{5}{13}[/tex]
Step-by-step explanation:
This question requires trigonometry. Trigonometry is used to work out lengths or angles when you are already given some. In this question we are given which formula to use but I will tell how to figure it out if the question doesn't give it to you. The formula's are
Sin⁻¹ = Opposite ÷ Hypotenuse
Tan⁻¹ = Opposite ÷ Adjacent
Cos⁻¹ = Adjacent ÷ Hypotenuse
First of all we have to label the sides,
→ The hypotenuse is the angle opposite the right angle so it is 13
→ The opposite is the side opposite the angle so it is 5
→ The adjacent is the remaining side so it is 12
In the question it has given us the formula to use so we use it,
→ Sin⁻¹ = Opposite ÷ Hypotenuse
⇒ Substitute in the values
→ Sin⁻¹ = 5 ÷ 13
The value of sinM is [tex]\frac{5}{13}[/tex]
