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Problem 3

In \(3-10,\) find the exact values of \(\theta\) in the interval \(0^{\circ} \leq \theta \leq 360^{\circ}\) that make each equation true. $$ \sin 2 \theta-\cos \theta=0 $$

Problem 3

In \(3-14,\) find the exact values of \(\theta\) in the interval \(0^{\circ} \leq \theta < 360^{\circ}\) that satisfy each equation. $$ 2 \cos ^{2} \theta-3 \sin \theta=0 $$

Problem 3

In \(3-8,\) find the exact solution set of each equation if \(0^{\circ} \leq \theta<360^{\circ} .\) $$ 2 \sin ^{2} \theta+\sin \theta-1=0 $$

Problem 3

In \(3-14\) , use the quadratic formula to find, to the nearest degree, all values of \(\theta\) in the interval \(0^{\circ} \leq \theta<360^{\circ}\) that satisfy each equation. $$ 3 \sin ^{2} \theta-7 \sin \theta-3=0 $$

Problem 4

In \(3-14\) , use the quadratic formula to find, to the nearest degree, all values of \(\theta\) in the interval \(0^{\circ} \leq \theta<360^{\circ}\) that satisfy each equation. $$ \tan ^{2} \theta-2 \tan \theta-5=0 $$

Problem 4

In \(3-8,\) find the exact solution set of each equation if \(0^{\circ} \leq \theta<360^{\circ} .\) $$ 3 \tan ^{2} \theta=1 $$

Problem 4

In \(3-10,\) find the exact values of \(\theta\) in the interval \(0^{\circ} \leq \theta \leq 360^{\circ}\) that make each equation true. $$ \cos 2 \theta+\sin ^{2} \theta=1 $$

Problem 4

In \(3-14,\) find the exact values of \(\theta\) in the interval \(0^{\circ} \leq \theta < 360^{\circ}\) that satisfy each equation. $$ 4 \cos ^{2} \theta+4 \sin \theta-5=0 $$

Problem 5

In \(3-8,\) find the exact solution set of each equation if \(0^{\circ} \leq \theta<360^{\circ} .\) $$ \tan ^{2} \theta-3=0 $$

Problem 5

In \(3-10,\) find the exact values of \(\theta\) in the interval \(0^{\circ} \leq \theta \leq 360^{\circ}\) that make each equation true. $$ \sin 2 \theta+2 \sin \theta=0 $$

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