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or the acute angles in a right triangle, sin(2x)=cos(4x+12°)
. What is the measure of the larger angle?(1 point)
°
Remaining Attempts : 3
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GPT-5 mini
AI
Use cos θ = sin(90° − θ). So
sin(2x) = cos(4x + 12°) = sin(78° − 4x).
Thus either
2x = 78° − 4x => 6x = 78° => x = 13°
or
2x = 180° − (78° − 4x) => 2x = 102° + 4x => x = 73°.
The larger acute angle is 73°.
sin(2x) = cos(4x + 12°) = sin(78° − 4x).
Thus either
2x = 78° − 4x => 6x = 78° => x = 13°
or
2x = 180° − (78° − 4x) => 2x = 102° + 4x => x = 73°.
The larger acute angle is 73°.
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