✔ 最佳答案
8 - 2tanx = 5sin2x 8 - 2tanx = 5( 2tanx / (1 + tan²x) )(4 - tanx)(1 + tan²x) = 5tanx4 - tanx + 4tan²x - tan³x = 5tanxtan³x - 4tan²x + 6tanx - 4 = 0(tanx - 2)(tan²x - 2tanx + 2) = 0tanx - 2 = 0 or tan²x - 2tanx + 2 = 0tanx = 2 or no real roots since △ = (-2)² - 4(2) < 0x = 63.43494882° or 243.43494882°