Consider the following for the two (02) items that follow:
Let 2sinα + cosα = 2 where 0 < α < 90°

What is $2\sin 2\alpha +\cos 2\alpha$ equal to?

The roots of the equation 7x² - 6x + 1 = 0 are tan α and tan β, where 2α and 2β are the angles of a triangle. Which one of the following is correct?

What is the number of solutions of the equation cot2x cot3x = 1 for 0 < x

What is the general solution of cos¹⁰⁰ x - sin¹⁰⁰ x = 1?