+0  
 
+5
255
3
avatar

what does x equal? 35 + sec^2x = 12tanx

Guest Mar 4, 2017

Best Answer 

 #3
avatar+7348 
+5

I'm sorry about it. I need to know better about the units. Thanks for the correction, Alan!

Greeting asinus :- )

asinus  Mar 4, 2017
 #1
avatar+7348 
+10

what does x equal? 35 + sec^2x = 12tanx

 

\(35 + sec^2x = 12tanx\)

 

\(sec^2x=\frac{1}{cos^2x}=\frac{1}{\frac{1}{1+tan^2x}}=1+tan^2x\)

 

\(35+1+tan^2x=12tanx\)

 

\(tanx=z\)

 

\(z^2-12z+36=0\)

 

\(z=6\pm\sqrt{36-36} \)

 

\(z=6\)

 

\(tanx=6\)

 

\(x=arctan6\)

 

\(x=1.4056476 \ or \ x=80grd\ 32min\ 15.6sec\)

 

\(and \ x=1.4056476+\pi \ or \ x=80grd\ 32min\ 15.6sec+ 180grd\)

 

laugh  !

asinus  Mar 4, 2017
 #2
avatar+26753 
+5

grd?   This suggests gradians to me!  Why not deg for degrees?

Alan  Mar 4, 2017
 #3
avatar+7348 
+5
Best Answer

I'm sorry about it. I need to know better about the units. Thanks for the correction, Alan!

Greeting asinus :- )

asinus  Mar 4, 2017

8 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.