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Mathematics

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Angles ∝ and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of ∝ if ∝ < β. ?

sin(2x - 8) = cos(6x - 6)

Answer :

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sin(2x-8)=cos(90-2x+8)=cos(6x-6).
So 98-2x=6x-6, 104=8x, x=13.
2x-8=18, 6x-6=72. The smaller angle is 18 and the larger angle is 72.

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Answer: 13

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