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sin(36° + A) × cos(54° – A) + cos(36° + A) × sin(54°–A)
We know that, sin(X + Y) = sinX × cos Y + cosX × sinY
Similarly, sin(36° + A) × cos(54° – A) + cos(36° + A) × sin(54°–A) = sin{(36 o + A) + (54 o – A)}
= sin(36 o + A + 54 o – A) = sin90 o = 1
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