Expand and simplify the trigonometric expression $\left(\sec\left(x\right)^2+\tan\left(x\right)^2\right)\left(\csc\left(x\right)^2+\cot\left(x\right)^2\right)$

$tan\left(x\right)csc\left(x\right)$

$\tan\left(x\right)\csc\left(x\right)$

$\frac{2+\tan^2\left(x\right)}{\sec^2\left(x\right)}-1$

$\frac{2+tan^2x}{sec^2x}-1$

$\frac{1+\tan\left(x\right)}{1+\cot\left(x\right)}$

$\frac{sin\left(x\right)}{cos\left(x\right)}+\frac{cos\left(x\right)}{sin\left(x\right)}$

$\tan\left(x\right)+\cot\left(x\right)$