Chapter 5 - Test - Page 709: 16

$\{2.5136, 3.7696 \}$

Work Step by Step

Step 1. Given $cos(x)=-0.8092$, we have the reference angle $x_0=cos^{-1}(0.8092)\approx0.6280\ rad$ Step 2. We can find the first solutions as $x_1=\pi-x_0\approx2.5136$ Step 3. We can find the second solutions as $x_2=\pi+x_0\approx3.7696$ Step 4. We have the solution set as $\{2.5136, 3.7696 \}$

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