Weekly Math Problem! #24

Trigonometric Equation. The last time I had a trigonometric equation on here was back in June, WMP! #8. (Be sure to check it out. 😉)  That trig equation didn't have any of the functions squared. This week's problems involves a squared function and a function with a double angle. I know, I know... Why, Lori?! Because it looked fun to solve. 🤓

To solve this week's problem in completion, you need to recall the following math skills:

        ✔️ Double angle formulas
        ✔️ How to solve quadratic equations
        ✔️ How to isolate the angle in a trigonometric function

By the way, you'll definitely need at least a scientific calculator for this one. Here is WMP! #24:

Happy solving!

Check back on Friday, October 23rd for the solution, which will be posted below ⬇️.

Shameless plug: Follow me on Instagram @TheYoungeLady

✏️📓 Solution Time! 📓✏️

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This problem is a quadratic trigonometric equation. What makes it "difficult" to solve is the trigonometric function with the double angle. How do we deal with that? Use a double angle formula to replace it in the equation. Let me show you...

                                                                       

As you can see, switching out the double angle trigonometric function for an equivalent one helped a great deal. It allowed for the original equation to be reduced to a simpler quadratic equation that could be solved with ease...and a calculator...lol 😅.

 

▪️ Did you use the same double angle formula I used to solve?? 

▪️ Comment below with your responses and let me know what you thought about this week's problem.

Thanks for solving with me this week!

See you next week for WMP! #25

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Cheers!

The Younge Lady