What is θ in radians if sin θ = 2√/2 (1 point) Responses π4 pi over 4 π3 pi over 3 π6 pi over 6 π2
To solve for θ in radians, we need to use the inverse sine function, also known as the arcsine function.
Given sin θ = 2√2 / 2, we can simplify to sin θ = √2.
Now, taking the inverse sine on both sides, we have:
θ = arcsin(√2).
The value of arcsin(√2) is π/4, which is equivalent to pi/4.
Therefore, θ in radians is pi/4.