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Chapter 5: Problem 37
Use Heron's Area Formula to find the area of the triangle. $$a=12.32, \quad b=8.46, \quad c=15.05$$
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Use inverse functions where needed to find all solutions of the equation in the interval \([0,2 \pi)\). $$2 \sin ^{2} x-7 \sin x+3=0$$
Consider the equation \(2 \sin x-1=0\). Explain the similarities and differences between finding all solutions in the interval \(\left[0, \frac{\pi}{2}\right)\), finding all solutions in the interval \([0,2 \pi),\) and finding the general solution.
Use a graphing utility to approximate the solutions (to three decimal places) of the equation in the interval \([0,2 \pi)\). $$\frac{1+\sin x}{\cos x}+\frac{\cos x}{1+\sin x}=4$$
Find the exact values of the sine, cosine, and tangent of the angle. $$\frac{11 \pi}{12}=\frac{3 \pi}{4}+\frac{\pi}{6}$$
Use inverse functions where needed to find all solutions of the equation in the interval \([0,2 \pi)\). $$\sec ^{2} x-4 \sec x=0$$
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