Question

найдите tg^2a если 6sin^2a+13cos^2a=10

Answer 1

tg^2(a) = sin^2(a) / cos^2(a)

6 = 6sin^2(a) + 6cos^2(a) - основное тригонометрическое тождество

5sin^2(a) + 13cos^2(a) - 6sin^2(a) - 6cos^2(a) = 0

7cos^2(a) = sin^2(a)

tg^2(a) = 7