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Igor was asked to solve the equation cos q = 0.809.

He used his calculator to determine q1 = 36°.  He then drew the following diagram and concluded that q2 = 144°.

Explain why Igor’s q2 is incorrect and provide the correct solution for  q2.

 Mar 15, 2021
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Igor würde gebeten, die Gleichung cos q = 0,809 zu lösen. Stellen Sie die richtige Lösung für q2 bereit.

 

Hallo Gast!

 

\(cos\ q = 0.809\\ q=arccos\ 0.809\\ q \in \{0.628347, 2\pi-0.628347\}\)

\(\color{blue}q^2\in \{0.39482, 31.977196\}\)

laugh  !

 Mar 16, 2021
edited by asinus  Mar 16, 2021

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