calculate asin°(1/2)

⚠ Radians → degrees: multiply by $\frac{180}{\pi }$, so the expression becomes $\frac{180}{\pi }·\mathrm{asin}\left(\frac{1}{2}\right)$

Let's evaluate: $\frac{180}{\pi }\times \mathrm{asin}\left(\frac{1}{2}\right)$

ⓘ acos, asin and atan give the principal angle whose cosine, sine or tangent respectively equals the number, here a remarkable value: $\mathrm{asin}\left(\frac{1}{2}\right)$ = $\frac{\pi }{6}$

$\frac{180}{\pi }\times \frac{\pi }{6}$

ⓘ To multiply fractions, multiply the numerators together and the denominators together: $\frac{180}{\pi }\times \frac{\pi }{6}$ = $\frac{180\pi }{\pi \times 6}$■The original denominator must remain nonzero. The fraction is simplified by dividing the numerator and the denominator by their common factor $\pi$: $\frac{180\pi }{\pi \times 6}$ = $\frac{180}{6}$

$\frac{180}{6}$

ⓘ Simplify the fraction by dividing the numerator and the denominator by $6$, their greatest common divisor: $\frac{180}{6}$ = $30$

▶Result:   $30$