In ∆ABC,a=2,b=3, and sinA=23 , then B is equal to
Determine the value of B
Applying Sine rule in ∆ABC having sides a,b,c
⇒asinA=bsinB=csinC[Substitutethevalues]⇒223=3sinB;∵sinA=23,a=2,b=3,given⇒sinB=1⇒sinB=sinπ2;∵sinπ2=1⇒B=π2⇒B=90°
Hence, the correct option is (C)