Math Olympiad | A Nice Trigonometric Equation | Find x

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Find the value of x?
How to solve 81^sin²x+81^cos²x=30
In this video, we'll show you How to Solve Math Olympiad Question A Nice Exponential Equation 81^sin²x+81^cos²x=30 in a clear , fast and easy way. Whether you are a student learning basics or a professtional looking to improve your skills, this video is for you. By the end of this video, you'll have a solid understanding of how to solve math olympiad exponential equations and be able to apply these skills to a variety of problems.
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[@Miku-dy7mm]

That's a very basic question, not Olympiad level

[@SALogics]

Junior Olympiad ✔

[@yanminglui7077]

in degrees: 60 + 180n, 120+180n, 30+180n, 150+180n

[@cartilyy]

fun question

[@SALogics]

Thanks and welcome ❤

[@nafisru]

-60 deg and -30 degree are also two solutions. Then there can be infinitely many solutions due to periodic behavior.

[@SALogics]

Yes, you are right. ❤

[@fsponj]

I liked the way you used trig substitution. I didn't know when to use them but you made it easier. & can you also use Radians too

[@SALogics]

Thanks for liking ❤

[@perfectkill2456]

What level is this question?

[@gnanadesikansenthilnathan6750]

60 degrees and 30 degrees is correct

[@SALogics]

Yes, you are right. ❤

[@bigteth1870]

there are 4 types of infinite solutions and u managed to only find 2 solutions.

[@SALogics]

Two other solutions are -60 and -30 ✔