Evaluate the quantity that is defined, but do not use a calculator or tables. $\arcsin \left( - \frac { 1 } { 2 } \right)$
A) -π/4
B) -π/3
C) -π/2
D) π/4
E) -π/6

Question

Quizplus · Accepted Answer

The arcsine function, $\arcsin(x)$, gives the angle whose sine is $x$. Since the sine of $-\frac{\pi}{6}$ (or -30 degrees) is $-\frac{1}{2}$, $\arcsin \left( - \frac { 1 } { 2 } \right) = -\frac{\pi}{6}$.

Evaluate the Quantity That Is Defined, but Do Not Use arcsin⁡(−12)\arcsin \left( - \frac { 1 } { 2 } \right)arcsin(−21​)

Evaluate the Quantity That Is Defined, but Do Not Use $\arcsin \left( - \frac { 1 } { 2 } \right)$