Which of the following relations is true for two unit vectors $$\hat{A}$$ and $$\hat{B}$$ making an angle $$\theta$$ to each other?

A

$$|\hat{A} + \hat{B}| = |\hat{A} - \hat{B}|\frac{\tan\theta}{2}$$

B

$$|\hat{A} - \hat{B}| = |\hat{A} + \hat{B}|\frac{\tan\theta}{2}$$

C

$$|\hat{A} + \hat{B}| = |\hat{A} - \hat{B}|\frac{\cos\theta}{2}$$

D

$$|\hat{A} - \hat{B}| = |\hat{A} + \hat{B}|\frac{\cos\theta}{2}$$