3 \sin \theta+5 \cos \theta=55 \sin \theta-3 \cos \theta=\pm 2

1.	3 \sin \theta+5 \cos \theta=55 \sin \theta-3 \cos \theta=\pm 2
Answer» 3sinx +5cosx=5squaring both siods9 sin^2x +25cos^2x+30sinxcosx=259+16cos^2x+30sinxcosx=2516cos^2x+30sinxcosx=1630sinxcosx=16sin^2x30sinxcosx-16sin^2x=0 sinx(30cosx-16sinx)=0either sinx =0 or tanx = 15/81) sinx=0cosx=15sinx-3cosx=-3

Answer»

3sinx +5cosx=5squaring both siods9 sin^2x +25cos^2x+30sinxcosx=259+16cos^2x+30sinxcosx=2516cos^2x+30sinxcosx=1630sinxcosx=16sin^2x30sinxcosx-16sin^2x=0

sinx(30cosx-16sinx)=0either sinx =0 or tanx = 15/81) sinx=0cosx=15sinx-3cosx=-3

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3 \sin \theta+5 \cos \theta=55 \sin \theta-3 \cos \theta=\pm 2

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