Question

question 3 of 10 what is sin 45°? a. $\frac{1}{2}$ b. $\frac{1}{sqrt{2}}$ c. 1 d. $sqrt{2}$

Explanation:

Step1: Recall sine - definition

The sine of an angle in a right - triangle is defined as $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$.

Step2: Identify opposite and hypotenuse for 45°

For the 45° angle in the given right - triangle, the length of the opposite side is 1 and the length of the hypotenuse is $\sqrt{2}$. So, $\sin45^{\circ}=\frac{1}{\sqrt{2}}$.

Answer:

B. $\frac{1}{\sqrt{2}}$