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0.9659258262890683 = 12 \pi z \pi
Evaluate trigonometric functions in the problem
0.9659258262890683=12\pi ^{2}z
Multiply \pi and \pi to get \pi ^{2}.
12\pi ^{2}z=0.9659258262890683
Swap sides so that all variable terms are on the left hand side.
\frac{12\pi ^{2}z}{12\pi ^{2}}=\frac{0.9659258262890683}{12\pi ^{2}}
Divide both sides by 12\pi ^{2}.
z=\frac{0.9659258262890683}{12\pi ^{2}}
Dividing by 12\pi ^{2} undoes the multiplication by 12\pi ^{2}.
z=\frac{9659258262890683}{120000000000000000\pi ^{2}}
Divide 0.9659258262890683 by 12\pi ^{2}.