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Maths help?

solve each equation :
a)cos^2x+3sinx-3=0

b)3sin^2x-5cosx+2cos^2x=0

c)3sinx-2tanx=0d)4sin^2x-5sinx+2cos^2x=0

[h="1"]d)4sin^2x-5sinx+2cos^2x=0[/h]
(edited 11 years ago)
Reply 1
What working out have you done so far?
Original post by hey_help
solve each equation :
a)cos^2x+3sinx-3=0

b)3sin^2x-5cosx+2cos^2x=0

c)3sinx-2tanx=0d)4sin^2x-5sinx+2cos^2x=0

[h="1"]d)4sin^2x-5sinx+2cos^2x=0[/h]


You are going to need to make use of the following identities:

sin2x+cos2x=1\sin^2 x + \cos^2 x = 1

sin2x=2sinxcosx\sin 2x = 2 \sin x \cos x

cos2x=cos2xsin2x\cos 2x = \cos^2 x - \sin^2 x

tanx=sinxcosx\displaystyle \tan x = \frac{\sin x}{\cos x}
(edited 11 years ago)
Original post by Mr M
You are going to need to make use of the following identities:
cos2x=cos2x+sin2x\cos 2x = \cos^2 x + \sin^2 x

:eek4:

Only joking :tongue: :wink:
Reply 4
Original post by Mr M
You are going to need to make use of the following identities:

sin2x+cos2x=1\sin^2 x + \cos^2 x = 1

sin2x=2sinxcosx\sin 2x = 2 \sin x \cos x

cos2x=cos2xsin2x\cos 2x = \cos^2 x - \sin^2 x

tanx=sinxcosx\displaystyle \tan x = \frac{\sin x}{\cos x}


:tongue:
Original post by Felix Felicis
:eek4:

Only joking :tongue: :wink:


Sorry!
Original post by Albino
:tongue:


Et tu Albino?
Reply 7
Original post by Mr M
Et tu Albino?


beaten to it by felix but ya me too :wink:
Reply 8
Original post by Mr M


sin2x+cos2x=1\sin^2 x + \cos^2 x = 1


darn

too slow to mock

serves me right for chatting on other fora
Original post by TenOfThem
serves me right for chatting on other fora


There are other fora?

:eek:


boom shakalaka
Original post by Mr M
There are other fora?

:eek:


You know about relationships now ... there are others too

I was engaged in a Degree Classification v Student Ranking discussion

Well exciting
Original post by upthegunners


x1±352\displaystyle x \neq \frac{1\pm 3\sqrt 5}{2} ???
Original post by Mr M
x1±352\displaystyle x \neq \frac{1\pm 3\sqrt 5}{2} ???

wrong thread :colondollar:

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