Can someone help me with this questions
M/J 02 Q1
M/J 03 Q1
0/N 04 Q4
M/J 02 Q1
cotx-tanx=cosx/sinx-sinx/cosx
=((cosx)^2-(sinx)^2)/sinxcosx=cos2x/(1/2sin2x)=2cot2x
M/J 03 Q1
sin(x ? 60 ) ? cos(30 ? x) = 1
sinxcos60-cosxsin60-cos30cosx-sin30sinx=1
sinx*1/2-cosx
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cosx-1/2sinx=1
cosx=1 so cosx=1/
0/N 04 Q4
tan(45 + x) = 2 tan(45 ? x)
(tan45+tanx)/(1-tan45tanx)=2(tan45-tanx)/(1tan45tanx)
(1+tanx)/(1-tanx)=2(1-tanx)/(1+tanx)
cross multiply
(1+tanx)^2=2(1-tanx)(1-tanx)
1+2tanx+tan^2x=2-4tanx+2tan^2x
tan^2x-6tanx+1=0