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Trig Addition formula confusion

In one of the proofs in the edexcel C3 text book, (if you have this book please turn to page 107 for a better idea of what is confusing me as i dont know how to post the picture), so the addition formula proof for cos(A-B) -congruent to- cosAcosB + sinAsinB

OP

Fr the diagram it seems that its should be cos (B-A) as b is the larger angle.

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