Find a solution for the equation. assume that all angles are acute angles. sin( 2β + 10°) = cos( 3β - 25°)

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15-02-2018
Mathematics

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Find a solution for the equation. assume that all angles are acute angles. sin( 2β + 10°) = cos( 3β - 25°)

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sqdancefan sqdancefan · Answer 1 · 2018-02-18T02:00:59+01:00

sqdancefan sqdancefan

18-02-2018

The sine of one acute angle is equal to the cosine of another when their sum is 90°.
.. (2β +10°) +(3β -25°) = 90°
.. 5β -15° = 90°
.. 5β = 105°
.. β = 21°

Then your equation becomes
.. sin(52°) = cos(38°)

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