Question

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

Answer 1

Answer:
`√(2)/2` which is Choice B

This is the same as writing
`(√(2))/(2)`

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

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Step-by-step 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)) = (√(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 = (√(2))/(2)` as the length of each leg.

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