+0  
 
0
273
5
avatar

sin(12^12^14)

Guest Nov 17, 2014

Best Answer 

 #2
avatar+18835 
+13

$$\small\text{
$
\sin{ ( 12^{12^{14}} \ensurement{^{\circ}} ) } \\
=\sin{ ( 12^{ 168 } \ensurement{^{\circ}} ) } \\
= \sin{ ( 216 \ensurement{^{\circ}} ) } \\
= -0.587785252292
$
}}$$

 

heureka  Nov 18, 2014
Sort: 

5+0 Answers

 #1
avatar+7188 
+8

$$\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{sin}}{\left({{\left({{\mathtt{12}}}^{{\mathtt{12}}}\right)}}^{{\mathtt{14}}}\right)} = -{\mathtt{0.350\: \!397\: \!680\: \!546}}$$

happy7  Nov 17, 2014
 #2
avatar+18835 
+13
Best Answer

$$\small\text{
$
\sin{ ( 12^{12^{14}} \ensurement{^{\circ}} ) } \\
=\sin{ ( 12^{ 168 } \ensurement{^{\circ}} ) } \\
= \sin{ ( 216 \ensurement{^{\circ}} ) } \\
= -0.587785252292
$
}}$$

 

heureka  Nov 18, 2014
 #3
avatar+91489 
0

I like that Heureka.  I would not thought to have used the mod function for this. Thanks ;)

Why is your answer different from Happy's answer?

Melody  Nov 18, 2014
 #4
avatar+18835 
+8

sin(12^12^14)

 

Hi Melody,

here is the solution from WolframAlpha:

I think, the argument (12^12)^14 is to big for our calculator. But the mod - function is correct and departs from the argument multiple from 360 degrees.

The formula is  $$\sin(\alpha) = \sin(\alpha \pm n*360\ensurement{^{\circ}} )$$

heureka  Nov 19, 2014
 #5
avatar+91489 
0

Thanks heureka,

This post is not just for heureka   

I am still a little confused. Is there a glitch in the calculator?  Why wasn't happy's answer the same?

 

$$\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{sin}}{\left({\mathtt{400}}^\circ\right)} = {\mathtt{0.642\: \!787\: \!609\: \!687}}$$

 

$$\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{sin}}{\left({\mathtt{400}}{\mathtt{\,-\,}}{\mathtt{360}}\right)} = {\mathtt{0.642\: \!787\: \!609\: \!687}}$$

 

Okay so why was mod function necessary - was it just that the sine function could not handle an angle that  was so huge?

Melody  Nov 19, 2014

11 Online Users

avatar
avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details