<?xml version="1.0" encoding="utf-8"?><oembed><type>video</type><version>1.0</version><width>1920</width><height>1080</height><title>Hello everyone. - Animated Video By Sarwan Rathor - Mango Animate</title><description>Hello everyone. animation video uploaded by Sarwan Rathor. Trigonometric ratios are derived from right triangles, which are triangles with one 90-degree angle. These ratios help relate the angles of a triangle to the lengths of its sides. Here’s a simple explanation:### 1. **Right Triangle Basics**A right triangle has three sides:- **Hypotenuse:** The longest side, opposite the right angle.- **Adjacent Side:** The side next to the angle you’re focusing on, but not the hypotenuse.- **Opposite Side:** The side across from the angle you’re focusing on.### 2. **Trigonometric Ratios**There are three main trigonometric ratios: Sine, Cosine, and Tangent. These ratios are based on the relationships between the angles and the sides of the triangle.- **Sine (sin):** The sine of an angle is the ratio of the length of the opposite side to the hypotenuse.\sin(\theta) = \frac{\text{Opposite}}{\text{Hypotenuse}}- **Cosine (cos):** The cosine of an angle is the ratio of the length of the adjacent side to the hypotenuse.\cos(\theta) = \frac{\text{Adjacent}}{\text{Hypotenuse}}- **Tangent (tan):** The tangent of an angle is the ratio of the length of the opposite side to the adjacent side.\tan(\theta) = \frac{\text{Opposite}}{\text{Adjacent}}### 3. **How These Ratios Are Derived**The trigonometric ratios are derived by examining different right triangles with the same angles but different side lengths. Make your animation and host online for free!</description><url>https://mangoanimate.com/w/wb4egcqtwffclyy/hello-everyone/wcwegcqyjepcbt0/</url><author_name>Sarwan Rathor</author_name><author_url>https://mangoanimate.com/homepage/1ef60d59-1e90-6850-9b7a-f23c915625cf</author_url><provider_name>Mango Animate</provider_name><provider_url>https://mangoanimate.com</provider_url><thumbnail_url>https://online.mangoanimate.com/ai/w/133425618837498688/1/thumb.jpg</thumbnail_url><thumbnail_width>1920</thumbnail_width><thumbnail_height>1080</thumbnail_height><html>&lt;iframe src=&quot;https://mangoanimate.com/w/wb4egcqtwffclyy/hello-everyone/wcwegcqyjepcbt0/?type=embed&quot; width=&quot;840px&quot; height=&quot;473px&quot; frameborder=&quot;0&quot; scrolling=&quot;no&quot; webkitAllowFullScreen mozallowfullscreen allowFullScreen&gt;&lt;/iframe&gt;</html></oembed>