11*22*sin=121

It seems you are trying to solve an equation involving a sine function. However, the equation you provided has a couple of issues because it isn't clear what "sin" is referring to in terms of angle or radian. If we assume you meant \(11 \times 22 \times \sin(\theta) = 121\), we can simplify this. First, calculate \(11 \times 22\): \[ 11 \times 22 = 242 \] Now substituting back into the equation gives: \[ 242 \times \sin(\theta) = 121 \] Now, divide both sides by \(242\): \[ \sin(\theta) = \frac{121}{242} \] This simplifies to: \[ \sin(\theta) = \frac{1}{2} \] Now, we can find the value of \(\theta\). The sine of an angle equals \(\frac{1}{2}\) at: \[ \theta = 30^\circ \quad \text{and} \quad \theta = 150^\circ \] For radians, these angles are: \[ \theta = \frac{\pi}{6} \quad \text{and} \quad \theta = \frac{5\pi}{6} \] Remember that sine is periodic, so there are infinitely many solutions depending on the period of the sine function: \[ \theta = 30^\circ + k \cdot 360^\circ \quad \text{and} \quad \theta = 150^\circ + k \cdot 360^\circ \quad \text{for any integer } k \] Or in radians: \[ \theta = \frac{\pi}{6} + 2k\pi \quad \text{and} \quad \theta = \frac{5\pi}{6} + 2k\pi \quad \text{for any integer } k \] If you meant something different, please clarify!