Solve the equation:
\[\sin(x - 20^\circ) = \frac{1}{\sqrt{2}}\]
Answer (2)
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The solutions to the equation sin ( x − 2 0 ∘ ) = 2 1 are x = 6 5 ∘ + 36 0 ∘ k and x = 15 5 ∘ + 36 0 ∘ k , where k is any integer. This accounts for the periodic nature of the sine function. Thus, these expressions reflect all angles for which the original equation holds true.
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