Answer:
27
Step-by-step explanation:
note that tanx cotx = tanx × [tex]\frac{1}{tanx}[/tex] = 1
Given
tanx - cotx = 5 ( square both sides )
(tanx - cotx)² = 5² = 25 ← expand left side using FOIL
tan²x - 2tanxcotx + cot²x = 25
tan²x - 2 + cot²x = 25 ( add 2 to both sides )
tan²x + cot²x = 27
