Since cot x = cos x / sin x, if cot x = 1/2, with the angle x in the first quadrant, then cos x = 1 and sin x = 2 (1) State true or false. Is this a possible situation? (2) Explain why or why not.

Answer 1

False.

cos²x + sin²x = 1 for all x.

Answer 2

If cot x = 1/2 then tan x = 2

x = inverse_tangent(2)

= 63.4349488229....