Consider the following for the three (03) items that follow:
Let p = tan 2α   - tanα and q = cotα - cot 2α

What is tan²α equal to?

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

What is tanα equal to?

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?