Show that cot(A+B)=cotAcotB-1cotA+cotBA
To prove: cot(A+B)=cotAcotB-1cotA+cotBA
Proof:
R.H.S=cotAcotB-1cotA+cotBA
=cosAsinAcosBsinB-1cosAsinA+cosBsinB
=cosAcosB-sinAsinBsinAsinBcosAsinB+sinAcosBsinAsinB
=cosAcosB-sinAsinBsinAsinB×sinAsinBcosAsinB+sinAcosB
=cosAcosB-sinAsinBcosAcosB+sinAsinB
=cos(A+B)sin(A+B)
=cot(A+B)
⇒L.H.S=R.H.S
Hence proved
Name the property where a,bandc
a+b=b+a:
The following table shows the ages of five people, illustrates this data using a Bar graph, and tell who is the youngest of all?
The following table shows the ages of five people, illustrates this data using a Bar graph, and tell by how many years is A older than D?