Consider the following for the next two (02) items that follow :

Let sin β be the GM of sin α and cos α; tan γ be the AM of sin α and cos α.

Consider the following for the next two (02) items that follow :

Let $x=\frac{\sin ^2 A+\sin A+1}{\sin A}$ where 0 < A ≤ $\frac{\pi}{2}$

Consider the following for the next two (02) items that follow :

Let $x=\frac{\sin ^2 A+\sin A+1}{\sin A}$ where 0 < A ≤ $\frac{\pi}{2}$

Consider the following for the next two (02) items that follow :

Given that

sinx + cosx + tanx + cotx + secx + cosecx = 7