Pattern Search method to solve the below transcendental equation

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Matlab Simulink
Matlab Simulink el 11 de En. de 2012
Non-Linear equation:
cosθ1 + cosθ2 - cosθ3 = -m
cos3θ1 + cos3θ2 - cos3θ3 = 0
cos5θ1 + cos5θ2 - cos5θ3 = 0
Is it possible to solve the above three non-liner equations using Pattern Search method. Can be please give us some matlab coding regarding this.

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