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Magazine Problem 54
Use the quadratic formula to find (a) all degree solutions and (b) \(\theta\) if \(0^{\circ} \leq \theta<360^{\circ}\). Use a calculator to approximate all answers to the nearest tenth of a degree. $$\sin ^{2} \theta-\sin \theta-1=0$$
Problem 54
Solving the following equations will require you to use the quadratic formula. Solve each equation for \(\theta\) between \(0^{\circ}\) and \(360^{\circ}\), and round your answers to the nearest tenth of a degree. \(\sin ^{2} \theta=\cos \theta\)
Problem 55
Solving the following equations will require you to use the quadratic formula. Solve each equation for \(\theta\) between \(0^{\circ}\) and \(360^{\circ}\), and round your answers to the nearest tenth of a degree. \(2 \sin ^{2} \theta=3-4 \cos \theta\)
Problem 55
Use the quadratic formula to find (a) all degree solutions and (b) \(\theta\) if \(0^{\circ} \leq \theta<360^{\circ}\). Use a calculator to approximate all answers to the nearest tenth of a degree. $$2 \sin ^{2} \theta+1=4 \sin \theta$$
Problem 55
The problems that follow review material we covered in Sections \(4.7\) and \(5.5\). Evaluate each expression. $$\cos \left(\tan ^{-1} \frac{2}{3}+\cos ^{-1} \frac{1}{3}\right)$$
Problem 56
Find all solutions if \(0^{\circ} \leq \theta<360^{\circ}\). When necessary, round your answers to the nearest tenth of a degree. $$ \sin \theta-\cos \theta=1 $$
Problem 56
Use the quadratic formula to find (a) all degree solutions and (b) \(\theta\) if \(0^{\circ} \leq \theta<360^{\circ}\). Use a calculator to approximate all answers to the nearest tenth of a degree. $$1-4 \cos \theta=-2 \cos ^{2} \theta$$
Problem 56
Solving the following equations will require you to use the quadratic formula. Solve each equation for \(\theta\) between \(0^{\circ}\) and \(360^{\circ}\), and round your answers to the nearest tenth of a degree. \(4 \sin \theta=3-2 \cos ^{2} \theta\)
Problem 57
Find all solutions if \(0^{\circ} \leq \theta<360^{\circ}\). When necessary, round your answers to the nearest tenth of a degree. $$ \sin \theta+\cos \theta=-1 $$
Problem 57
The problems that follow review material we covered in Sections \(4.7\) and \(5.5\). Evaluate each expression. Write \(\sin 10 x+\sin 4 x\) as a product.
