Discuz Math Forum»Forum › Mathematics › High School › 一眼看尽同角三角求值

Return to list New

View 329|Reply 2

[函数] 一眼看尽同角三角求值

[Copy link]

764 Threads	4672 Posts	27 Reputation

Send PM

isee posted 2021-8-6 20:49 |Read mode

（源自 youtube 的 SyberMath 的视频）

若`3\sin x-4\cos x=2`，则`\tan x=`_________.

Reply Edit 0

673 Threads	110K Posts	218 Reputation

Send PM

kuing posted 2021-8-6 20:59

齐次化呗

Reply Edit

764 Threads	4672 Posts	27 Reputation

Send PM

original poster isee posted 2021-8-8 00:15

回复 2# kuing

最快的方式：平方，就可以化为齐二次，最后结果`\frac{12\pm2\sqrt{21}}{5}`

Reply Edit

Return to list New

Quick Reply

× Quick Reply To Top Edit

2025-7-15 14:18 GMT+8

Powered by Discuz!

Processed in 0.012005 seconds, 22 queries