Trigonometryhard · Past Paper

Solve for x: tan 3x = sin 45 cos 45 + sin 30.

A15 degrees
B30 degrees
C45 degrees
D60 degrees

✓ Correct Answer: A15 degrees

tan 3x = (1/sqrt(2) * 1/sqrt(2)) + 1/2 = 1/2 + 1/2 = 1. So 3x = 45, x = 15.

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