If α + β = 90°, then the expression (tan α

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If α + β = 90°, then the expression (tan α / tan β) + sin²α + sin²β is equal to :

α + β = 90°
⇒ α = 90° – β
⇒ tanα = tan (90° – β) = cot β.
sinα = sin (90° – β) = cosβ
∴ Expression

=	cot β	+ tan² β + sin² β
	tan β

= cot² β + 1
= cosec² β = cosec² (90° – α)
= sec²α