Given that sin(x) = cos(53°)
We know the following fact about complementary angle :-
If we have two complementary angles such that A + B = 90°,
then cosA = sinB or sinA = cosB.
So we can use the above fact and solve the equation for x.
sin(x) = cos(53°)
⇒ x + 53° = 90°
Subtracting 53° from both sides,
⇒ x +53° -53° = 90° -53°
⇒ x = 37°
Hence, x = 37 degrees is the answer.
