Another C4 Trig Problem Watch

benjaminc
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#1
Report Thread starter 9 years ago
#1
Hello once again, internet users.

I come bearing gifts of ... er ... maths.

The question: Solve the equation sec^2 x + tan x = 1 for 0≤x≤π

(In case it's not clear, that's sec squared x [I'll learn Latex one day])

I've got as far as rearranging it down to tan^2 x + tan x = 0

And therefore (tan x)(tan x + 1)
Is this OK so far? How would one continue from here?

Thanking you repeatedly,

Ben.
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EierVonSatan
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#2
Report 9 years ago
#2
Solve tan x = 0 and tan x + 1 = 0
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dasmojo
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#3
Report 9 years ago
#3
lol you've done the hard bit!? :P
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benjaminc
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#4
Report Thread starter 9 years ago
#4
Ok, thanks, so that would be x = 0, 180, 360, 135, 315 Degrees right?

If so, how can I do this easily in Radians?
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EierVonSatan
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#5
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#5
Switch the mode on your calculator (or note that pi radians = 180 degrees)
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nuodai
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#6
Report 9 years ago
#6
(Original post by benjaminc)
Ok, thanks, so that would be x = 0, 180, 360, 135, 315 Degrees right?

If so, how can I do this easily in Radians?
C'mon, this is C2 stuff now :p: \pi\ \mbox{rads} = 180^{\circ} \Rightarrow 1^{\circ} = \dfrac{\pi}{180}\ \mbox{rads}
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benjaminc
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#7
Report Thread starter 9 years ago
#7
Haha, I know that's C2 stuff, but I thought there might be some incredible C4 trick I hadn't picked up on! Thanks all.
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