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Chapter 6: Problem 89
Use words to describe the formula for: the tangent of half an angle. (Describe one of the two formulas that does not involve a square root.)
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Use the most appropriate method to solve each equation on the interval \([0,2 \pi) .\) Use exact values where possible or give approximate solutions correct to four decimal places. $$ \cos x-5=3 \cos x+6 $$
Solve: \(\log x+\log (x+1)=\log 12\) (Section \(4.4,\) Example 8 )
Determine whether each statement makes sense or does not make sense, and explain your reasoning. I solved \(4 \cos ^{2} x=5-4 \sin x\) by working independently with the left side, applying a Pythagorean identity, and transforming the left side into \(5-4 \sin x .\)
Use the most appropriate method to solve each equation on the interval \([0,2 \pi) .\) Use exact values where possible or give approximate solutions correct to four decimal places. $$ 7 \cos x=4-2 \sin ^{2} x $$
Use a graphing utility to approximate the solutions of each equation in the interval \([0,2 \pi) .\) Round to the nearest hundredth of a radian. $$ 15 \cos ^{2} x+7 \cos x-2=0 $$
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