Trigonometric Co-Function Angle Sum

In a right triangle with acute angles x and y, it is given that sin(3x - 12°) = cos(2x + 17°). What is the value of x in degrees?

Desmos 10-Second Shortcut

Desmos Degree Mode Trick: Set Desmos to Degrees. Graph y = sin(3x - 12) and y = cos(2x + 17). Find the intersection in the interval 0 < x < 90. The x-coordinate is 17°.

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