+0  
 
0
430
5
avatar

sin(12^12^14)

Guest Nov 17, 2014

Best Answer 

 #2
avatar+19632 
+13

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

 

heureka  Nov 18, 2014
 #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+19632 
+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+92781 
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+19632 
+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+92781 
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

9 Online Users

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.