From 4bea0ad374b2e945f68a0117fb2e04f5ad9f1b06 Mon Sep 17 00:00:00 2001 From: zleyyij <75810274+zleyyij@users.noreply.github.com> Date: Mon, 23 Sep 2024 11:20:52 -0600 Subject: [PATCH] vault backup: 2024-09-23 11:20:52 --- education/math/MATH1060 (trig)/Identities.md | 6 ++++++ 1 file changed, 6 insertions(+) diff --git a/education/math/MATH1060 (trig)/Identities.md b/education/math/MATH1060 (trig)/Identities.md index 1804dd6..803e267 100644 --- a/education/math/MATH1060 (trig)/Identities.md +++ b/education/math/MATH1060 (trig)/Identities.md @@ -39,3 +39,9 @@ $$ \frac{sin\theta}{cos\theta} = \frac{sin\theta}{1} * \frac{1}{csc\theta} $$ $$ \frac{sin\theta}{1} * \frac{1}{csc\theta} = sin\theta * sin\theta $$ 3. Simplifying further, we get: $$ sin^2\theta $$ +### Finding all values using identities +If $sec\theta = -\frac{25}{7}$ and $0 < \theta < \pi$, find the values of the other 5 trig functions: + +Using the trig identity $1 + tan^2\theta = cot^2\theta$, we can do this: +$$ 1 + tan^2\theta = (-\frac{25}{7})^2 $$ +$25^2 \ No newline at end of file