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If sinx is approximately 0.2588, what is the measurement of x to the nearest degree? Approximately, what is the cosine of the angle that is complementary to x?

 Nov 9, 2016
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\(sin(x)=0.2588\)

 

\({sin}^{-1}(sin(x))={sin}^{-1}(0.2588)\)

 

\(x={sin}^{-1}(0.2588)\)

 

\(x≈14.99887030548°\)

 

\(x≈15°\)

 

The complementary of angle \(15°\):

 

\(90°-15°=x\)

 

\(75°=x\)

 

\(x=75°\)

 

\(cos(75°)=x\)

 

\(0.258819045103≈x\)

 

\(x≈0.258819045103\)

 Nov 9, 2016

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