Is there any general method to solve a system of trigonometric equations?

27 December 2018 0 10K Report

for Example any method that can be used to solve 12 coupled trigonometric equations:

C20*(C15*r12 + S15*r22) - S20*(C21*(C15*r11 + S15*r21) - S21*(C15*r13 + S15*r23)) + C16*C19 - C18*S16*S19

S20*(C15*r12 + S15*r22) - S16*S18 + C20*(C21*(C15*r11 + S15*r21) - S21*(C15*r13 + S15*r23))

C16*S19 - S21*(C15*r11 + S15*r21) - C21*(C15*r13 + S15*r23) + C18*C19*S16

Py*S15 - C16*d18 - C16*d18pp - S15*d15p + S16*d18p - d22*(C15*r13 + S15*r23) - d20*(C21*(C15*r13 + S15*r23) + S21*(C15*r11 + S15*r21)) + C15*Px - C16*S19*d20p - C18*C19*S16*d20p

C20*r32 - S20*(C21*r31 - S21*r33) + C19*S16 + C16*C18*S19

S20*r32 + C20*(C21*r31 - S21*r33) + C16*S18

S16*S19 - C21*r33 - S21*r31 - C16*C18*C19

Pz - d15 - C16*d18p - S16*d18 - S16*d18pp - d22*r33 - d20*(C21*r33 + S21*r31) - S16*S19*d20p + C16*C18*C19*d20p

S18*S19 - C20*(C15*r22 - S15*r12) + S20*(C21*(C15*r21 - S15*r11) - S21*(C15*r23 - S15*r13))

- C18 - S20*(C15*r22 - S15*r12) - C20*(C21*(C15*r21 - S15*r11) - S21*(C15*r23 - S15*r13))

C21*(C15*r23 - S15*r13) + S21*(C15*r21 - S15*r11) - C19*S18

Px*S15 + C15*d15p + d22*(C15*r23 - S15*r13) + d20*(C21*(C15*r23 - S15*r13) + S21*(C15*r21 - S15*r11)) - C15*Py + C19*S18*d20p

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