If sin4A = cos (A - 30°), then find the value of A which satisfies the given equation.

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Solution

$\Rightarrow$ $c o s (90^{\circ} - 4 A) = c o s (A - 30^{\circ})$

$\Rightarrow$ $90^{\circ} - 4 A = A - 30^{\circ}$

$\Rightarrow$ $5 A = 120^{\circ}$

$\Rightarrow$ $A = 24^{\circ}$

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