Difference between revisions of "Pythagorean identity for sin and cos"
From specialfunctionswiki
| Line 1: | Line 1: | ||
<div class="toccolours mw-collapsible mw-collapsed"> | <div class="toccolours mw-collapsible mw-collapsed"> | ||
<strong>[[Pythagorean identity for sin and cos|Theorem]]: (Pythagorean identity)</strong> The following formula holds for all $x$: | <strong>[[Pythagorean identity for sin and cos|Theorem]]: (Pythagorean identity)</strong> The following formula holds for all $x$: | ||
| − | $$\sin^2(x)+\cos^2(x)=1 | + | $$\sin^2(x)+\cos^2(x)=1,$$ |
| + | where $\sin$ denotes the [[sine|sine function]] and $\cos$ denotes the [[cos|cosine]] function. | ||
<div class="mw-collapsible-content"> | <div class="mw-collapsible-content"> | ||
<strong>Proof:</strong> █ | <strong>Proof:</strong> █ | ||
</div> | </div> | ||
</div> | </div> | ||
Revision as of 18:29, 1 December 2015
Theorem: (Pythagorean identity) The following formula holds for all $x$: $$\sin^2(x)+\cos^2(x)=1,$$ where $\sin$ denotes the sine function and $\cos$ denotes the cosine function.
Proof: █
