The synergist of tensor fascia latae is the gluteus maximus.
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synergist
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The synergist muscle is a kind of muscle that performs or helps
perform the same set of joint motion as the agonists. Synergist
muscle acts on movable joints.
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A supinator is a synergist for supinating the hand. Brachialis
is the forearm flexor which has no role in supination.