1. If sin (a+b)=cos(a+b) then the value of tan(a+b)
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sin(A+B)=cos(A−B)
⇒sin(A+B)=sin[90
o
−(A−B)]
⇒A+B=90
o
−A−B
⇒2A=90
o
⇒A=45
o
=
4
π
If B=0, then A+B=
4
π
If B=45
o
, then A+B=90
o
=
2
π
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