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

Guest Mar 4, 2017

Best Answer 

 #3
avatar+7155 
+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
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 #1
avatar+7155 
+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+26357 
+5

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

Alan  Mar 4, 2017
 #3
avatar+7155 
+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

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