Difference between revisions of "Angles"
| Line 14: | Line 14: | ||
Convert the following from degrees to radians or radians to degrees | Convert the following from degrees to radians or radians to degrees | ||
| − | <math>1. 245^\circ</math> | + | <math>1.\, 245^\circ</math> |
| − | <math>2. \dfrac{5\pi}{4}</math> | + | <math>2. \, \dfrac{5\pi}{4}</math> |
| − | <math>3. 275^\circ </math> | + | <math>3.\, 275^\circ </math> |
| − | <math>4. \dfrac{9\pi}{2} </math> | + | <math>4. \, \dfrac{9\pi}{2} </math> |
| − | <math>5. 30^\circ </math> | + | <math>5. \, 30^\circ </math> |
[[Math_5|'''Return to Topics Page]] | [[Math_5|'''Return to Topics Page]] | ||
Revision as of 13:47, 27 March 2016
Angles
The main things to remember about angles is that they are measured starting from the positive x-axis, unless otherwise stated, and measured in a counter-clockwise direction.
We say that a whole revolution is 360 degrees, making an arrow pointing north a 90 degree angle, west a 180 angle, and south a 270 degree angle.
Radians
If we have an angle in degrees and we want the angle measure in radians we can use the conversion facto of Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 180^\circ = \pi \text{ radians}} This means that if we want to convert back and forth Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 1 \text{ degree} = \frac{\pi}{180} \text{ radians} \qquad 1 \text{ radian } = \frac{180}{\pi} \text{ degrees}}
Examples
Convert the following from degrees to radians or radians to degrees
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 1.\, 245^\circ}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 2. \, \dfrac{5\pi}{4}}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 3.\, 275^\circ }
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 4. \, \dfrac{9\pi}{2} }
Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle 5.\,30^{\circ }}
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