Sin(A+B)=1.tan(A-B)=1/root 3.Find Tan A+cot B
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sin(A+B)=1
sin(A+B)= sin90
A+B =90----(1)
tan(A-B)=1/root3
tan(A-B)=tan30
A-B=30---(2)
add (1) and (2)
2A=120
A=120/2
A=60
plug A=60 in (1)
60+B =90
B=30
therefore
tanA+cot B= tan 60 + cot 30
= root3+ root3
=.2*root3
sin(A+B)= sin90
A+B =90----(1)
tan(A-B)=1/root3
tan(A-B)=tan30
A-B=30---(2)
add (1) and (2)
2A=120
A=120/2
A=60
plug A=60 in (1)
60+B =90
B=30
therefore
tanA+cot B= tan 60 + cot 30
= root3+ root3
=.2*root3
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