Find all solutions to the equation. \[ \sin \left(\frac{1}{2} x\right)-1=0 \] Write your answer in radians in terms of \( \pi \), and use the "or" button as ne \( x= \)

\( 1 - \tan ^ { 2 } x \geq 0 \)

[1] the opposite figure: I ABO is righteangled at \( \mathrm{A}, \mathrm{A}(6,3) \) , then \( \tan (2 \mathrm{AOB})=\ldots \ldots \ldots \ldots \ldots \)

\( \theta=\frac{2 \pi}{7} \) radians, \( \omega=\frac{2 \pi}{3} \) radian per minute Use formula \( \omega=\frac{\theta}{t} \) to find the value of the missing variable.

\( 37 \sin ( \alpha + \beta ) \cdot \sin ( \alpha - \beta ) = \cos ^ { 2 } \beta - \cos ^ { 2 } \alpha \)

\( \tan \theta=-\frac{3}{4} \), given that \( \theta \) is in quadrant IV