Question

COMPLETE Find the value of the function for O. sin(45°) = ?

Answer 1

Answer:  $\sqrt{2}/2$ which is Choice B

This is the same as writing $\frac{\sqrt{2}}{2}$

The second "2" is not under or inside the square root.

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Explanation:

Refer to the unit circle below. I've highlighted the angle 45 degrees and its corresponding sine value. It's the y coordinate of the point on the unit circle, for this particular angle.

Therefore, $\sin(45^{\circ}) = \frac{\sqrt{2}}{2}$

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You could alternatively draw out a 45-45-90 triangle. Let x be the leg length and the hypotenuse is 1 unit long. Solve $x^2+x^2 = 1$ for x and you should get $x = \frac{\sqrt{2}}{2}$ as the length of each leg.

Then take the ratio of the opposite over hypotenuse to find the same answer mentioned above.