From 55a7ba19ca51d7ba14aa6b8a31745541483e98f2 Mon Sep 17 00:00:00 2001 From: zleyyij <75810274+zleyyij@users.noreply.github.com> Date: Wed, 28 Aug 2024 11:04:34 -0600 Subject: [PATCH] vault backup: 2024-08-28 11:04:34 --- education/math/MATH1060 (trig)/Angles.md | 16 ++++++++++++++-- 1 file changed, 14 insertions(+), 2 deletions(-) diff --git a/education/math/MATH1060 (trig)/Angles.md b/education/math/MATH1060 (trig)/Angles.md index 8398bba..c122458 100644 --- a/education/math/MATH1060 (trig)/Angles.md +++ b/education/math/MATH1060 (trig)/Angles.md @@ -2,7 +2,17 @@ Angles consist of two rays with the same endpoint and are typically measured in If an angle is measured counterclockwise, it's a *positive angle*, and if an angle is measured clockwise, it's a *negative angle*. +## Complementary and Supplementary Angles +A **complimentary** angle is formed when two positive angles add up to $90\degree$ or $\frac{\pi}{2}$. One mnemonic device that you can use to remember this is: + +> Complementary starts with C, and C stands for corner. $90\degree$ makes a corner. + +A **supplementary** angle is formed when two positive angles add up to $180\degree$ or $\pi$. One mnemonic device that you can use to remember this is: + +> Supplementary starts with S and S stands for straight. $180\degree$ makes a straight line. + +Angles greater than $90\degree$ have no complement and angles greater than $180\degree$ have no supplement. # Definitions | Term | Description | | -------------------- | ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ | @@ -14,5 +24,7 @@ If an angle is measured counterclockwise, it's a *positive angle*, and if an ang | Terminal side | In standard position, the terminal side is the ray that's being measured relative to the initial side. | | $s$ | The length of a curve along the radius. | | Radian | Denoted with $rad$, one radian is equal to the radius, but it's measured along the arc in a curve instead of from the center. | -| Complementary Angles | Two positive angles that add up to $90\degree$ or $\frac{\pi}{2}$. One mnemonic device that you can use to remember this | -| Supplementary Angles | Two positive angles that add up to $180\degree$ or $\pi$. | +| Complementary Angles | Two positive angles that add up to $90\degree$ or $\frac{\pi}{2}$. One mnemonic device that you can use to remember this is:

Complementary starts with C, and C stands for corner. $90\degree$ makes a corner. | +| Supplementary Angles | Two positive angles that add up to $180\degree$ or $\pi$. One mnemonic device that you can use to remember this is:

Supplementary starts with S and S stands for straight. $180\degree$ makes a straight line. | +| | | +| | |