Question

question 4 of 10
what is sin 45°?
1
90°
45°
45°
√2
1
a. 1/2
b. 1
c. √2
d. 1/√2

Explanation:

Step1: Recall Sine Definition

Sine of an angle in a right triangle is $\frac{\text{opposite}}{\text{hypotenuse}}$.

Step2: Identify Sides for 45°

For 45° angle, opposite side is 1, hypotenuse is $\sqrt{2}$.

Step3: Calculate $\sin 45^\circ$

$\sin 45^\circ = \frac{1}{\sqrt{2}}$ (rationalize: $\frac{\sqrt{2}}{2}$, but option D is $\frac{1}{\sqrt{2}}$).

Answer:

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