Solve the following equations for 0<x<360 ?

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Dec 2010
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v) sin^2x=1-cosx
vi)sin^2x=1
vii)1-cos^2x=2sin x
viii) sin^2 x=2cos^2 x
ix) 2sin^2 x=3cos x
x) 3tan^2x-10tan x +3=0
thanks in advance really stuck !
 

chisigma

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v) \(\displaystyle \sin^{2} x = 1-\cos x \implies 1-\cos^{2} x = 1-cos x \implies 1+\cos x = 1 \implies \cos x =0\)...

Kind regards

\(\displaystyle \chi\) \(\displaystyle \sigma\)
 

skeeter

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Jun 2008
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v) sin^2x=1-cosx

1 - cos^2x = 1 - cosx

cosx - cos^2x = 0

cosx(1 - cosx) = 0

cosx = 0 , cosx = 1

x = 90 , 270 ... x = 0 , 360
same idea with the rest. show us something.
 

mr fantastic

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