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Be kind and check my answers for nov 2004 p2
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chats
for habosh 
p2 november 04
8) i)prove that tan theta+cot theta= 2 cosec 2theta
ii) Given that sin alpha= 5/13, 0<alpha< pi/2, find the exact value of
a) cos alpha
b)cos 2alpha
Given also that 13 cos(x+alpha)+5sinx=6, and 0<alpha<pi/2,
c)find the value of x
p2 november 04
8) i)prove that tan theta+cot theta= 2 cosec 2theta
ii) Given that sin alpha= 5/13, 0<alpha< pi/2, find the exact value of
a) cos alpha
b)cos 2alpha
Given also that 13 cos(x+alpha)+5sinx=6, and 0<alpha<pi/2,
c)find the value of x
aww thanx
you deserve a rep but well I cantr rep today so tomorrow 
p2 november 04
8) i)prove that tan theta+cot theta= 2 cosec 2theta
(sinx/cosx)+(cosx/sinx)
(sin^2x+cos^2x)/(sinxcosx)
sin^2x+(1-sin^2x)
1/(sinxcosx)=2/(2sinxcosx)=2/sin2x=2cosec2x
ii) Given that sin alpha= 5/13, 0<alpha< pi/2, find the exact value of
a) cos alpha
sqrt13^2-5^2=12
cos y =12/13
b)cos 2alpha
cos 2 y=cos^2y - sin^2 y
=(12/13)^2-(5/13)^2=119/169
Given also that 13 cos(x+alpha)+5sinx=6, and 0<alpha<pi/2,
c)find the value of x
c)find the value of x
13cosxcosy-13sinxsiny+5sinx=6
13cosx(12/13)-13sinx(5/13)+5sinx=6
12cosx-5sinx+5sinx=6
12cosx=6
cosx=0.5
x=(pi/3)
and x=(5(pi))/3
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