Given a right triangle where the hypotenuse is r, the acute angle theta, the opposite vertical side y and adjacent side x.

Given a right triangle where the hypotenuse is r, the acute angle θ, the opposite vertical side y and adjacent side x. Which of the following relations does not apply?

A. $1 + \tan^2 \theta = \sec^2 \theta$ C. $x^2 + y^2 = r^2$
B. $\cos 2\theta = 1 + 2\sin^2 \theta$ D. $\sin 2\theta = 2 (\sin \theta) (\cos \theta)$