If x = a sec 0 and y = b tan 0 then x² - y^2 =
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let A = theta
x² - y² = a² sec² A + b² tan² A + 2 ab secA tan A
- (a² tan² A + b² sec²A + 2ab tanA secA)
= a² (sec²A - tan²A) + b² (sec²A - tan²A)
= a² - b²
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