Find every angle theta with 0 <= theta <= 2pi radians, and 2 sin^2(theta)+cos(theta)=2

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 ${\displaystyle \tan (x-\frac{y}{2})}$

For a Science fair project, a group of students tested different Materials used to construct kites. The instructor gave to the group an instrument that accurately measures the angle of elevation. In one of the tests, the angle of elevation was 63.4° with 670 ft of string out. Assuming the string was taut, how high was the kite?

Maximum and minimum of ${\displaystyle f\left(x\right)=2{\sin }^{2}x+2{\cos }^{4}x}$

Interval $[0,2\pi )$
$2co{s}^{2}x-cosx=0$?

Solve the equation $\csc x-\sin x=\cot x\cos x$

Verify the identity ${\displaystyle \sec x-\sec x{\sin }^{2}x=\cos x}$