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Sin 3A = 3 Sin A - 4 sin³A
sin³A=(3 Sin A-Sin 3A)/4
∑(sin³3ⁿ⁻¹α)/3ⁿ
=1/4*∑(sin3ⁿ⁻¹α-1/3sin3ⁿα)/3ⁿ⁻¹
=1/4(∑(sin3ⁿ⁻¹α/3ⁿ⁻¹-∑sin3ⁿα/3ⁿ)
=1/4(3sinα-(sin3ⁿα)/3ⁿ)
sin³A=(3 Sin A-Sin 3A)/4
∑(sin³3ⁿ⁻¹α)/3ⁿ
=1/4*∑(sin3ⁿ⁻¹α-1/3sin3ⁿα)/3ⁿ⁻¹
=1/4(∑(sin3ⁿ⁻¹α/3ⁿ⁻¹-∑sin3ⁿα/3ⁿ)
=1/4(3sinα-(sin3ⁿα)/3ⁿ)
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