6) cos α = 0.6. Find sin α, tan α.

1. Use the identity sin²α + cos²α = 1 to find sin α: sin α = sqrt(1 - cos²α) = sqrt(1 - 0.6²) = sqrt(1 - 0.36) = sqrt(0.64) = 0.8.
2. Calculate tan α using the identity tan α = sin α / cos α: tan α = 0.8 / 0.6 = 8/6 = 4/3.
3. The values are: sin α = 0.8, tan α = 4/3.