Question

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Answer 1

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°

Answer 2

We know that:

sin Ø = cos (90 - Ø)

Apply the same here:

sin 3Ø = cos (Ø - 6)

=> cos (90 - 3Ø) = cos (Ø - 6)

=> 90 - 3Ø = Ø - 6

=> 96 = 4Ø

=> Ø = 24°

Answer of first part is in the attachment.