If x = a secA and y = a tanA , then the value of x2 - y2 is
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x²-y²= a
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Given, x = a sec A & y = a tan A
Squaring these, then we get,
x² = a² sec²A & y² = a² tan² A
x²/a² = sec²A & y²/a² = tan²A
Subtract these, so we get,
x²/a² - y²/ a² = sec²A - tan²A
x² - y² /a² = 1 [°.° sec²A - tan²A = 1]
x² - y² = a²
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