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QUESTION: If sin3∅ = cos(∅ - 6°) and 3∅ and (∅ - 6°) are acute ANGLES, find the value of ∅.

Answer: 24°

STEP by step EXPLANATION:

Given:

sin 3∅ = cos(∅ - 6°)

We know that,

sin ( 90° - ∅ ) = cos ∅

THUS,

sin 3∅ = sin ( 90° + 6° - ∅ )

3∅ = 90° + 6° - ∅

3∅ + ∅ = 96°

4∅ = 96°

∅ = 24°

Thus, the value of theta (∅) is 24°



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