I have been informed that on March 7th from 6:00am to 6:00pm Central Time Lamar University will be doing some maintenance to replace a faulty UPS component and to do this they will be completely powering down their data center.
Unfortunately, this means that the site will be down during this time. I apologize for any inconvenience this might cause.
Paul
February 18, 2026
Section 1.6 : Solving Trig Equations with Calculators, Part II
Find the solution(s) to the following equations. If an interval is given find only those solutions that are in the interval. If no interval is given find all solutions to the equation. These will require the use of a calculator so use at least 4 decimal places in your work.
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.
- \(3 - 14\sin \left( {12t + 7} \right) = 13\) Solution
- \(3\sec \left( {4 - 9z} \right) - 24 = 0\) Solution
- \(4\sin \left( {x + 2} \right) - 15\sin \left( {x + 2} \right)\tan \left( {4x} \right) = 0\) Solution
- \(\displaystyle 3\cos \left( {\frac{{3y}}{7}} \right)\sin \left( {\frac{y}{2}} \right) + 14\cos \left( {\frac{{3y}}{7}} \right) = 0\) Solution
- \(7{\cos ^2}\left( {3x} \right) - \cos \left( {3x} \right) = 0\) Solution
- \(\displaystyle {\tan ^2}\left( {\frac{w}{4}} \right) = \tan \left( {\frac{w}{4}} \right) + 12\) Solution
- \(4{\csc ^2}\left( {1 - t} \right) + 6 = 25\csc \left( {1 - t} \right)\) Solution
- \(4y\sec \left( {7y} \right) = - 21y\) Solution
- \(10{x^2}\sin \left( {3x + 2} \right) = 7x\sin \left( {3x + 2} \right)\) Solution
- \(\displaystyle \left( {2t - 3} \right)\tan \left( {\frac{{6t}}{{11}}} \right) = 15 - 10t\) Solution