Find \(\displaystyle{\sin{{\frac{{\theta}}{{{2}}}}}}\) when \(\displaystyle{\sin{\theta}}={\frac{{35}}{}}\), and

Airline passengers arrive randomly and independently at the passenger-screening facility at a major international airport. The mean arrival rate is 11 passengers per minute.

If ${\displaystyle \sin x+\sin y=a\text{and}\cos x+\cos y=b}$ then find ${\displaystyle \tan (x-\frac{y}{2})}$

Solve the equation $\sec x-\sec xsi{n}^{2}x=\cos x$

if ${\displaystyle \cos 45=\frac{1}{\sqrt{2}}}$, find ${\displaystyle \cos 315,\sin 270,\sin 210,\tan 210}$

Verify the identity ${\displaystyle \sin (A+\pi )=-\sin A}$

How do I prove ${\displaystyle \frac{\sin x+\csc y}{\sin y+\csc x}=\csc y\sin x}$?

Solve the equation $\sin \theta \cot \theta =\cos \theta$