From f3df3d4a1b362fb74545bc6b1519a64243344f28 Mon Sep 17 00:00:00 2001 From: arc Date: Thu, 18 Sep 2025 12:48:06 -0600 Subject: [PATCH] vault backup: 2025-09-18 12:48:06 --- .../Integration with Trig Identities.md | 14 ++++++++++++-- 1 file changed, 12 insertions(+), 2 deletions(-) diff --git a/education/math/MATH1220 (calc II)/Integration with Trig Identities.md b/education/math/MATH1220 (calc II)/Integration with Trig Identities.md index c31cc1b..80ddc53 100644 --- a/education/math/MATH1220 (calc II)/Integration with Trig Identities.md +++ b/education/math/MATH1220 (calc II)/Integration with Trig Identities.md @@ -58,10 +58,20 @@ $$ \int\frac{3}{4+x^2}dx = \frac{3}{2}\arctan(\frac{x}{2}) + C $$ # A VERY LARGE LIST OF TRIG IDENTITIES FOR CALCULUS -| non calc identities
| +| Reciprocal | | ------------------------------------ | | $\csc(x) = \dfrac{1}{sin(x)}$ | | $\sec(x) = \dfrac{1}{\cos(x)}$ | | $\cot(x) = \dfrac{1}{\tan(x)}$ | -| $\tan(x) = \dfrac{\sin(x)}{\cos(x)}$ | + +| Quotient | +| -- | +| $\tan(x) = \dfrac{\sin(x)}{\cos(x)}$ | +| $\cot(x) = \dfrac{\cos(x)}{\sin(x)}$ | + +| Pythagorean | +| -- | | $\sin^2(x) + \cos^2(x) = 1$ | +| $1 + \tan^2(x) = \sec^2(x)$ | +| $1 + \cot^2(x) = \csc^2(x)$ | +| $1 \ No newline at end of file