Section 1.6 : Solving Trig Equations with Calculators, Part II
Find all the solution(s) to the following equations. These will require the use of a calculator so use at least 4 decimal places in your work.
- \(22\cos \left( {8 - x} \right) + 10 = 0\)
- \(10\tan \left( {4x + 10} \right) - 7 = 31\)
- \(\displaystyle 4\tan \left( {\frac{w}{3}} \right)\sin \left( {2w} \right) - \tan \left( {\frac{w}{3}} \right) = 0\)
- \(3\tan \left( {4z} \right)\sec \left( {2z - 1} \right) + \sec \left( {2z - 1} \right) = 0\)
- \(2 - \sin \left( {2y} \right) = 3{\sin ^2}\left( {2y} \right)\)
- \(4\cos^2\left( {2t + 5} \right) - 4\cos \left( {2t + 5} \right) = - 1\)
- \(\displaystyle 6 - 5{\sin ^2}\left( {\frac{x}{4}} \right) = 7\sin \left( {\frac{x}{4}} \right)\)
- \(2 = 2\tan^2\left( {8t} \right) + 3\tan \left( {8t} \right)\)
- \(35\csc \left( {4z} \right) = {z^3}\csc \left( {4z} \right)\)
- \(3t = 8t\cos \left( {5 + t} \right)\)
- \(\displaystyle \left( {5x + 1} \right)\sin \left( {\frac{{x - 6}}{2}} \right) + 25x + 5 = 0\)