Find the exact value of sin(3π/4).Solve for x: cos(2x) = 0.5, where 0 ≤ x ≤ 2π.Express tan(θ) in terms of sin(θ) and cos(θ).If sin(x) = 0.8, find the values of cos(x) and tan(x).Prove the trigonometric identity: sin²(θ) + cos²(θ) = 1.Determine the period and amplitude of the function y = 2sin(3x + π/4).Solve the equation 2cos(2θ) = √3 for θ, where 0 ≤ θ ≤ 2π.Express sin(2x) in terms of sin(x) and cos(x).Given tan(α) = -2/3 in quadrant III, find sin(α) and cos(α).Solve for x: 4sin²(x) - 4cos(x) + 1 = 0, where 0 ≤ x ≤ 2π.