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Problem 9 - Entrance Test

If tan (A + B) = cot 30°, where (A + B) is an acute angle, find the value of (A + B).

Correct: C

We know the complementary angle identity: cot θ = tan (90° - θ). So, cot 30° = tan (90° - 30°) = tan 60°. The given equation becomes tan (A + B) = tan 60°. Since (A + B) is an acute angle, we can equate the angles: A + B = 60°.