An artist uses different types of paper to create her masterpieces. She has shiny metallic paper and pink glittery paper. The sh
iny paper comes in lengths of 24 inches and the glitter paper in lengths of 36 inches. She wants to make sure she can cut her paper into equal sizes but doesn’t want them to be too small. What’s the largest size she can cut them into without any waste?
- cos ( 1/2 x + 1/5 π ) = 0 ( and because if cos α = 0, α= π/2 + k π, k ∈ Z ) 1/2 x + π/5 = π/2 + k π, k ∈ Z 1/2 x = π/2 - π/5 + k π / * 2 x = π - 2π/5 + 2 k π x = 3/5 π + 2 k π = 0.6 π + 2 k π Answer: If k = 0: x 1 = 0.6 π = 3π/5 k = 1 : x 2 = 2.6 π = 13π/5
