Algebra Examples

$\arcsin (\frac{11 π}{2})$

Step 1

Subtract $2 π$ from $\frac{11 π}{2}$ .

$A = \frac{11 π}{2} - 2 π$

Step 2

The resulting angle of $\frac{7 π}{2}$ is positive, less than $2 π$ , and coterminal with $\frac{11 π}{2}$ .

$A = \frac{7 π}{2}$

Step 3

Subtract $2 π$ from $\frac{7 π}{2}$ .

$A = \frac{7 π}{2} - 2 π$

Step 4

The resulting angle of $\frac{3 π}{2}$ is positive, less than $2 π$ , and coterminal with $\frac{11 π}{2}$ .

$A = \frac{3 π}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$A = \frac{3 π}{2}$

Decimal Form:

$A = 4.71238898 \dots$