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solve

solve this equation please.

sec^2 x + tan^2 x = 6

Thanx
Reply 1
Avatar for k@tie
k@tie
10
confused?
solve this equation please.

sec^2 x + tan^2 x = 6

Thanx

1/(cos^2x) + sin^2x / cos^2x = 1+sin^2x = 6cos^2x
= sin^2x + cos^2x + sin^2x = 6cos^2x
2sin^2x = 5cos^2x
(2/5)tan^2x = 1
tan^2x = 5/2
tan x = root (5/2)
Reply 2
Avatar for elpaw
elpaw
15
or just use 1+tan²x = sec²x to get

2tan²x = 5

tanx = root(5/2)
Reply 3
Avatar for m:)ckel
m:)ckel
14
(1+tan^2 x) + tan^2 x = 6
1 + 2tan^2 x = 6
tanx = rt(5/2)
Reply 4
Avatar for k@tie
k@tie
10
mockel
(1+tan^2 x) + tan^2 x = 6
1 + 2tan^2 x = 6
tanx = rt(5/2)

I expect u just wrote that coz originally I had 3's where I was menna have 2's
Reply 5
Avatar for m:)ckel
m:)ckel
14
Katie Heskins
I expect u just wrote that coz originally I had 3's where I was menna have 2's

yep :biggrin: i saw your original post, and said: "i got .... because i did it like this ..."
then i saw your edited post, and deleted the bits above to leave the working on its own
Reply 6
Avatar for k@tie
k@tie
10
mockel
yep :biggrin: i saw your original post, and said: "i got .... because i did it like this ..."
then i saw your edited post, and deleted the bits above to leave the working on its own

teehee thank you :biggrin:
Reply 7
Avatar for m:)ckel
m:)ckel
14
Katie Heskins
teehee thank you :biggrin:

:tsr:
Reply 8
Avatar for k@tie
k@tie
10
mockel
:tsr:

that smilie is somewhat scary

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