arc/notes
1
0
Fork 0
Code Issues Pull Requests Actions Packages Projects Releases Wiki Activity

vault backup: 2024-09-18 12:07:12

Browse Source
This commit is contained in:
zleyyij 2024-09-18 12:07:12 -06:00
parent ae2df8eb0e
commit 867c6b849f
1 changed files with 6 additions and 5 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

11
education/math/MATH1060 (trig)/Identities.md
View File

@ -5,11 +5,12 @@ All of the following only apply when the denominator is not equal to zero.
$$ tan \theta = \frac{y}{x} $$ $$ tan \theta = \frac{y}{x} $$
Because the following are inverses of their counterparts, you only need to remember the equivalents for $sin$, $cos$, and $tan$, then just find the inverse by taking $1/v$. Because the following are inverses of their counterparts, you only need to remember the equivalents for $sin$, $cos$, and $tan$, then just find the inverse by taking $1/v$.
| Identity | Inverse Identity | | Base Identity | Inverse Identity | Alternate Identities | Alternate Inverse Identities |
| ------------------------------- | ------------------------------ | | ----------------------------- | ------------------------------ | --------------------------------------------- | ------------------------------------------------------------------------- |
| $$ sin\theta = y $$ | $$ csc\theta = \frac{1}{y} $$ | | $$ sin\theta = y $$ | $$ csc\theta = \frac{1}{y} $$ | | $$ csc\theta = \frac{1}{sin\theta} $$ |
| $$ cos\theta = x $$ | $$ sec \theta = \frac{1}{x} $$ | | $$ cos\theta = x $$ | $$ sec \theta = \frac{1}{x} $$ | | |
| $$ tan\theta = \frac{sin\theta} | | | $$ tan\theta = \frac{y}{x} $$ | $$ cot\theta = \frac{x}{y} $$ | $$ tan\theta = \frac{sin\theta}{cos\theta} $$ | <br>$$ cot\theta = \frac{1}{tan\theta} = \frac{cos\theta}{sin{\theta}} $$ |
| | | | |
$$ cot \theta = \frac{x}{y} $$ $$ cot \theta = \frac{x}{y} $$
$$ sec\theta = \frac{1}{cos\theta}$$ $$ sec\theta = \frac{1}{cos\theta}$$
$$ csc\theta = \frac{1}{sin\theta}$$ $$ csc\theta = \frac{1}{sin\theta}$$