Question

find the exact value of the expression.
$\tanleft(arcsinleft(\frac{sqrt{2}}{2}
ight)
ight)$

Explanation:

Step1: Let θ = arcsin(√2/2)

θ satisfies sinθ = √2/2, θ ∈ [-π/2, π/2]

Step2: Find θ value

sin(π/4) = √2/2, so θ = π/4

Step3: Calculate tanθ

tan(π/4) = 1

Answer:

1