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.
Igor würde gebeten, die Gleichung cos q = 0,809 zu lösen. Stellen Sie die richtige Lösung für q2 bereit.
Hallo Gast!
\(cos\ q = 0.809\\ q=arccos\ 0.809\\ q \in \{0.628347, 2\pi-0.628347\}\)
\(\color{blue}q^2\in \{0.39482, 31.977196\}\)
!