Question

What is equivalent to square root of 2 over 2? Select all that apply

Answer 1

The answer is 2.

Explanation:

Answer 2

The correct selections are:

- cos(45°)

- sin(45°)

To determine which options are equivalent to
`\(√(2)/2\),` we need to recall the exact values of the sine, cosine, and tangent functions for common angles. Here are the values for the angles given in the options:

-
`\(\tan(45°) = 1\)`

-
`\(\cos(45°) = \sin(45°) = √(2)/2\)`

-
`\(\cos(60°) = 1/2\)`

-
`\(\tan(30°) = 1/√(3)\)`

-
`\(\sin(45°) = \cos(45°) = √(2)/2\)`

-
`\(\sin(30°) = 1/2\)`

From these values, we can see that
`\(√(2)/2\)` is equivalent to
`\(\cos(45°)\) and \(\sin(45°)\).`