Sec2 x + cosec2 x * cosec2 x

sec²x + cosec²x × cosec²x
= sec²x + cosec⁴x
= 1/cos²x + 1/sin⁴x
= sin⁴x/(cos²x × sin⁴x) + cos²x/(sin⁴x × cos²x)
= (sin⁴x + cos²x)/(sin⁴x × cos²x)