`*`(h, `*`(`ϖ`)) = `+`(`*`(h, `*`(`ϖ2`)), `/`(`*`(m0, `*`(`^`(c, 2))), `*`(sqrt(`+`(1, `-`(`^`(`/`(`*`(v), `*`(c)), 2)))))), `-`(`*`(m0, `*`(`^`(c, 2))))) 

`*`(h, `*`(`ϖ`)) = `+`(`*`(h, `*`(`ϖ2`)), `/`(`*`(m0, `*`(`^`(c, 2))), `*`(`^`(`+`(1, `-`(`/`(`*`(`^`(v, 2)), `*`(`^`(c, 2))))), `/`(1, 2)))), `-`(`*`(m0, `*`(`^`(c, 2))))) (1)
 

Greiner 1.6 (above) 

`/`(`*`(h, `*`(`ϖ`)), `*`(c)) = `+`(`/`(`*`(h, `*`(`ϖ2`, `*`(cos(O)))), `*`(c)), `/`(`*`(m0, `*`(v, `*`(cos(S)))), `*`(sqrt(`+`(1, `-`(`^`(`/`(`*`(v), `*`(c)), 2))))))) 

`/`(`*`(h, `*`(`ϖ`)), `*`(c)) = `+`(`/`(`*`(h, `*`(`ϖ2`, `*`(cos(O)))), `*`(c)), `/`(`*`(m0, `*`(v, `*`(cos(S)))), `*`(`^`(`+`(1, `-`(`/`(`*`(`^`(v, 2)), `*`(`^`(c, 2))))), `/`(1, 2))))) (2)
 

 

`/`(`*`(`+`(`/`(`*`(h, `*`(`ϖ`)), `*`(c)), `-`(`/`(`*`(h, `*`(`ϖ2`, `*`(cos(O)))), `*`(c)))), `*`(`^`(`+`(1, `-`(`/`(`*`(`^`(v, 2)), `*`(`^`(c, 2))))), `/`(1, 2)))), `*`(m0, `*`(v))) = cos... (3)
 

 

cos(S) = `/`(`*`(`+`(`/`(`*`(h, `*`(`ϖ`)), `*`(c)), `-`(`/`(`*`(h, `*`(`ϖ2`, `*`(cos(O)))), `*`(c)))), `*`(`^`(`+`(1, `-`(`/`(`*`(`^`(v, 2)), `*`(`^`(c, 2))))), `/`(1, 2)))), `*`(m0, `*`(v... (4)
 

 

Greiner 1.8 (above) 

 

`/`(`*`(h, `*`(`ϖ2`, `*`(sin(O)))), `*`(c)) = `/`(`*`(m0, `*`(v, `*`(sin(S)))), `*`(sqrt(`+`(1, `-`(`^`(`/`(`*`(v), `*`(c)), 2)))))) 

`/`(`*`(h, `*`(`ϖ2`, `*`(sin(O)))), `*`(c)) = `/`(`*`(m0, `*`(v, `*`(sin(S)))), `*`(`^`(`+`(1, `-`(`/`(`*`(`^`(v, 2)), `*`(`^`(c, 2))))), `/`(1, 2)))) (5)
 

`/`(`*`(h, `*`(`ϖ2`, `*`(sin(O), `*`(`^`(`+`(1, `-`(`/`(`*`(`^`(v, 2)), `*`(`^`(c, 2))))), `/`(1, 2)))))), `*`(c, `*`(m0, `*`(v)))) = sin(S)Greiner 1.9 (above) 

`dϖ` = `+`(`ϖ`, `-`(`ϖ2`)) 

`dϖ` = `+`(`ϖ`, `-`(`ϖ2`)) (6)
 

define diffefrence 

 

solve(Typesetting:-delayDotProduct({`dϖ` = `+`(`ϖ`, `-`(`ϖ2`)), `*`(h, `*`(`ϖ`)) = `+`(`*`(h, `*`(`ϖ2`)), `/`(`*`(m0, `*`(`^`(c, 2))), `*`(`^`(`+`(1, `-`(`/`(`*`(`^`(v, 2... 

{O = RootOf(`.`({`dϖ` = `+`(`ϖ`, `-`(`ϖ2`)), `*`(h, `*`(`ϖ`)) = `+`(`-`(`/`(`*`(`+`(`-`(`*`(h, `*`(`ϖ2`, `*`(`^`(`/`(`*`(`+`(`*`(`^`(c, 2)), `-`(`*`(`^`(v, 2))))), `*`(`^...
{O = RootOf(`.`({`dϖ` = `+`(`ϖ`, `-`(`ϖ2`)), `*`(h, `*`(`ϖ`)) = `+`(`-`(`/`(`*`(`+`(`-`(`*`(h, `*`(`ϖ2`, `*`(`^`(`/`(`*`(`+`(`*`(`^`(c, 2)), `-`(`*`(`^`(v, 2))))), `*`(`^...
{O = RootOf(`.`({`dϖ` = `+`(`ϖ`, `-`(`ϖ2`)), `*`(h, `*`(`ϖ`)) = `+`(`-`(`/`(`*`(`+`(`-`(`*`(h, `*`(`ϖ2`, `*`(`^`(`/`(`*`(`+`(`*`(`^`(c, 2)), `-`(`*`(`^`(v, 2))))), `*`(`^...
(7)
 

1st attempt at solution(above) 

`/`(`*`(h, `*`(`ϖ2`, `*`(sin(O)))), `*`(c)) = `/`(`*`(m0, `*`(v, `*`(sqrt(`+`(1, `-`(`*`(`^`(cos(S), 2)))))))), `*`(sqrt(`+`(1, `-`(`^`(`/`(`*`(v), `*`(c)), 2)))))) 

`/`(`*`(h, `*`(`ϖ2`, `*`(sin(O)))), `*`(c)) = `/`(`*`(m0, `*`(v, `*`(`^`(`+`(1, `-`(`*`(`^`(cos(S), 2)))), `/`(1, 2))))), `*`(`^`(`+`(1, `-`(`/`(`*`(`^`(v, 2)), `*`(`^`(c, 2))))), `/`(1, 2)))) (8)
 

 

`/`(`*`(`^`(h, 2), `*`(`^`(`ϖ2`, 2), `*`(`^`(sin(O), 2)))), `*`(`^`(c, 2))) = `/`(`*`(`^`(m0, 2), `*`(`^`(v, 2), `*`(`+`(1, `-`(`*`(`^`(cos(S), 2))))))), `*`(`+`(1, `-`(`/`(`*`(`^`(v, 2)), `*`(`... (9)
 

 

`*`(`+`(`*`(`^`(c, 2)), `-`(`*`(`^`(v, 2)))), `*`(`^`(h, 2), `*`(`^`(`ϖ2`, 2), `*`(`^`(sin(O), 2))))) = `/`(`*`(`^`(c, 2), `*`(`+`(`*`(`^`(c, 2)), `-`(`*`(`^`(v, 2)))), `*`(`^`(m0, 2), `*`(`^`(v... (10)
 

 

`*`(`+`(1, `-`(`/`(`*`(`^`(v, 2)), `*`(`^`(c, 2))))), `*`(`+`(`*`(`^`(c, 2)), `-`(`*`(`^`(v, 2)))), `*`(`^`(h, 2), `*`(`^`(`ϖ2`, 2), `*`(`^`(sin(O), 2)))))) = `*`(`^`(c, 2), `*`(`+`(`*`(`^`(c, 2... (11)
 

 

`/`(`*`(`+`(1, `-`(`/`(`*`(`^`(v, 2)), `*`(`^`(c, 2))))), `*`(`^`(h, 2), `*`(`^`(`ϖ2`, 2), `*`(`^`(sin(O), 2))))), `*`(`^`(c, 2))) = `*`(`^`(m0, 2), `*`(`^`(v, 2), `*`(`+`(1, `-`(`*`(`^`(cos(S),... (12)
 

 

`/`(`*`(`^`(h, 2), `*`(`^`(`ϖ2`, 2), `*`(`^`(sin(O), 2), `*`(`+`(1, `-`(`/`(`*`(`^`(v, 2)), `*`(`^`(c, 2))))))))), `*`(`^`(c, 2), `*`(`^`(m0, 2), `*`(`^`(v, 2))))) = `+`(1, `-`(`*`(`^`(cos(S), 2... (13)
 

 

`*`(`^`(`+`(`-`(`/`(`*`(`^`(h, 2), `*`(`^`(`ϖ2`, 2), `*`(`^`(sin(O), 2), `*`(`+`(1, `-`(`/`(`*`(`^`(v, 2)), `*`(`^`(c, 2))))))))), `*`(`^`(c, 2), `*`(`^`(m0, 2), `*`(`^`(v, 2)))))), 1), `/`(1, 2... (14)
 

 

cos(S) = `*`(`^`(`+`(`-`(`/`(`*`(`^`(h, 2), `*`(`^`(`ϖ2`, 2), `*`(`^`(sin(O), 2), `*`(`+`(1, `-`(`/`(`*`(`^`(v, 2)), `*`(`^`(c, 2))))))))), `*`(`^`(c, 2), `*`(`^`(m0, 2), `*`(`^`(v, 2)))))), 1),... (15)
 

`/`(`*`(h, `*`(`ϖ2`, `*`(sin(O), `*`(sqrt(`+`(1, `-`(`/`(`*`(`^`(v, 2)), `*`(`^`(c, 2)))))))))), `*`(c, `*`(m0, `*`(v)))) = `/`(`*`(`+`(`/`(`*`(h, `*`(`ϖ`)), `*`(c)), `-`(`/`(`*`(h, `*`(`&... 

`/`(`*`(h, `*`(`ϖ2`, `*`(sin(O), `*`(`^`(`+`(1, `-`(`/`(`*`(`^`(v, 2)), `*`(`^`(c, 2))))), `/`(1, 2)))))), `*`(c, `*`(m0, `*`(v)))) = `/`(`*`(`+`(`/`(`*`(h, `*`(`ϖ`)), `*`(c)), `-`(`/`(`*`... (16)
 

 

`*`(h, `*`(`ϖ2`, `*`(sin(O)))) = `*`(c, `*`(`+`(`/`(`*`(h, `*`(`ϖ`)), `*`(c)), `-`(`/`(`*`(h, `*`(`ϖ2`, `*`(cos(O)))), `*`(c)))))) (17)
 

 

`*`(h, `*`(`ϖ2`, `*`(sin(O)))) = `+`(`-`(`*`(h, `*`(`+`(`-`(`ϖ`), `*`(`ϖ2`, `*`(cos(O)))))))) (18)
 

 

`*`(`ϖ2`, `*`(sin(O))) = `+`(`ϖ`, `-`(`*`(`ϖ2`, `*`(cos(O))))) (19)
 

 

`*`(`ϖ2`, `*`(sin(O))) = `+`(`ϖ`, `-`(`*`(`ϖ2`, `*`(cos(O))))) (20)
 

 

`ϖ` = `+`(`*`(`ϖ2`, `*`(sin(O))), `*`(`ϖ2`, `*`(cos(O)))) (21)
 

 

`*`(h, `*`(`ϖ`)) = `*`(h, `*`(`+`(`*`(`ϖ2`, `*`(sin(O))), `*`(`ϖ2`, `*`(cos(O)))))) (22)