cos^(-1)(1/2) = π/3, since cos(π/3) = 1/2.

The derivative of cos^(-1)(x) is dy/dx = -1/√(1-x^2).

The derivative of y = cos^(-1)(x) is dy/dx = -1/√(1-x^2).

The derivative of cos^(-1)(x) is dy/dx = -1/√(1-x^2).

The derivative of y = sin^(-1)(x) is dy/dx = 1/√(1-x^2).

By definition, if y = sin^(-1)(x), then x = sin(y).

The derivative of y = sin^(-1)(x) is dy/dx = 1/sqrt(1-x^2).

The second derivative d^2y/dx^2 = -1/√(1-x^2)^3.

The range of y = tan^(-1)(x) is (-π/2, π/2).

The first derivative dy/dx = 1/(1+x^2). The second derivative d^2y/dx^2 = -2/(1+x^2)^2.

The answer should have 1 decimal place, as 0.3 has the least decimal places.

The result should have 2 significant figures, as the least number of significant figures in the factors is 2.

The answer should have 2 significant figures, as the least number of significant figures in the factors is 2.

The conjugate of z = 1 + i is z̅ = 1 - i.

z^3 = (1 + i)^3 = 1 + 3i - 3 - i = -2 + 2i.

z^4 = (1 + i)^4 = (2e^(iπ/4))^4 = 16e^(iπ) = -16.

z^2 = (1 + i)^2 = 1 + 2i + i^2 = 1 + 2i - 1 = 2i.

z^3 = (1 + i)^3 = 1 + 3i - 3 - i = -2 + 2i.

z^4 = (1 + i)^4 = 4i.

z^2 = (1 + i)^2 = 1 + 2i + i^2 = 1 + 2i - 1 = 2i.

The argument θ = tan^(-1)(√3/1) = π/3.

|z| = √(1^2 + (√3)^2) = √(1 + 3) = √4 = 2.

|z|^2 = (1)^2 + (√3)^2 = 1 + 3 = 4.

|z| = √(1^2 + (√3)^2) = √(1 + 3) = √4 = 2.

|z|^2 = (1)^2 + (√3)^2 = 1 + 3 = 4.

The argument θ = tan^(-1)(√3/1) = π/3.

|z|^2 = 1^2 + (√3)^2 = 1 + 3 = 4.

The argument is given by tan^(-1)(2/2) = tan^(-1)(1) = π/4.

The conjugate of z = 2 + 2i is z̅ = 2 - 2i.

|z| = √(2^2 + 2^2) = √(4 + 4) = √8 = 2√2.