Exercício 2.32. Resolva: 1. 3 arcsenx = � 2 2. arctan(x� 1) = � 3 3. 2 sen(arcsenx) = 1 3 4. arctan(tan(x2)) = � 9

1. 3 arcsenx = π/2 arcsenx = π/6 x = sen(π/6) x = 1/2 2. arctan(x² 1) = π/3 x² + 1 = tan(π/3) x² + 1 = √3 x² = √3 - 1 x = ±√(√3 - 1) 3. 2 sen(arcsenx) = 1/3 sen(arcsenx) = 1/6 x = sen(1/6) 4. arctan(tan(x²)) = π/9 x² - π/9 = kπ x² = kπ + π/9 x = ±√(kπ + π/9)