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Magazine 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 \(3-14\) , 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. $$ 7 \cos ^{2} \theta-1=5 \cos \theta $$
Problem 6
In \(3-8,\) find the exact solution set of each equation if \(0^{\circ} \leq \theta<360^{\circ} .\) $$ 2 \sin ^{2} \theta-1=0 $$
Problem 6
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. $$ 9 \sin ^{2} \theta+6 \sin \theta=2 $$
Problem 6
In \(3-14,\) find the exact values of \(\theta\) in the interval \(0^{\circ} \leq \theta < 360^{\circ}\) that satisfy each equation. $$ 2 \sin \theta+1=\csc \theta $$
Problem 6
In \(3-10,\) find the exact values of \(\theta\) in the interval \(0^{\circ} \leq \theta \leq 360^{\circ}\) that make each equation true. $$ \tan 2 \theta=\cot \theta $$
Problem 7
In \(3-8,\) find the exact solution set of each equation if \(0^{\circ} \leq \theta<360^{\circ} .\) $$ 6 \cos ^{2} \theta+5 \cos \theta-4=0 $$
Problem 7
In \(3-14,\) find the exact values of \(\theta\) in the interval \(0^{\circ} \leq \theta < 360^{\circ}\) that satisfy each equation. $$ 2 \sin ^{2} \theta+3 \cos \theta-3=0 $$
Problem 7
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. $$ \tan ^{2} \theta+3 \tan \theta+1=0 $$
Problem 7
In \(3-10,\) find the exact values of \(\theta\) in the interval \(0^{\circ} \leq \theta \leq 360^{\circ}\) that make each equation true. $$ \cos 2 \theta+2 \cos ^{2} \theta=2 $$
