Trigonometric Identity 4 Leaving Certificate Higher Level Maths

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Trigonometric Identity 4 Leaving Certificate Higher Level Maths
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is there anything preventing me doing this? :
cos(A-B) = cosAcosB + SinAsinB
cos(A-A) = cosAcosA + SinAsinA
cos(0) = cos^2(A) + sin^2(A)
1 = coa^2(A) + sin^2(A)
1 = 1 (pg 16 log tables)

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