Timeline for Solving this problem algebraically: $81^{\sin^{2}(x)} + 81^{\cos^{2}(x)} = 30 $
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| May 12 at 14:39 | vote | accept | Jesse | ||
| Jul 15, 2023 at 13:01 | audit | Reopen votes | |||
| Jul 15, 2023 at 13:12 | |||||
| Jul 14, 2023 at 21:40 | audit | Low quality posts | |||
| Jul 14, 2023 at 21:42 | |||||
| Jun 30, 2023 at 12:46 | comment | added | MJD | I think the key point is to realize (as you did) that the trigonometry part is fake, and to ignore it, which you did by substituting $u=81^{\cos^2 x}$. | |
| Jun 30, 2023 at 12:38 | history | edited | Thomas Andrews | CC BY-SA 4.0 |
edited body; edited title
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| Jun 30, 2023 at 12:37 | answer | added | user | timeline score: 3 | |
| Jun 30, 2023 at 12:37 | comment | added | J.G. | Basically every solution will look more or less that, although e.g. $v=9^{\cos2x}$ may be the most trigonometrically elegant as it reduces to $\cos2x=\pm\frac12$. | |
| Jun 30, 2023 at 12:34 | comment | added | mathophile | whatever you did in second method is an standard approach. this question is meant to be solved like your second approach. | |
| Jun 30, 2023 at 12:25 | history | asked | Jesse | CC BY-SA 4.0 |