Question

sin(60 + Φ) - cos(30 - Φ) is equal to

Answer 1

From the equilateral (60-60-60) triangle with all legs of length 1, we can view half the triangle, forming a 30-60-90 triangle, with the hypotenuse measuring 1, the short leg 1/2, and the long leg 3 2. Therefore, we have sin 30° = 1/2, cos 30° = 3 2, sin 60° = 3 2 and cos 60° = 1/2.

Answer 2

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