Using the same approach as in the previous exercise, predict the form of the multiplets arising from the terms x, 21Zx, 41z2zx and 81z2z3zx m an I3S spin system; compare your results with Fig. 12.6 on page 452. You will need to apply repeatedly several of the following trigonometric identities

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cos (A) cos (B)Icos (A B) + cos (A -B)] sin (A) sin (B) Ξ [cos (A-B)-cos (A + B)] sin (A) cos (B)(A B) +sin (A - B)] 2 sin (A) cos (A 2A) cos (A) - sin2 (A) sin2 (A) sin (2A) cos2 (A),[1+cos ( 2A) cos (-A ) [1-cos (2A)] COS cos (A ) sin(-A)--sin(A).