Question

A and B are Acute angle and Sin (A+B)=1 and Cot (A-B)=√3 .Find the value of A and B​

Answer 1

Answer:

A=60 , B=30

Step-by-step explanation:

sin(A+B)=1

sin(90)=1

therefore,

sin(90)=sin(A+B)

therefore A+B=90----------(i)

cot(A-B)=root3

cot(30)=root3

therefore,

cot(A-B)=cot(30)

therefore

A-B=30---------(ii)

Add (i) and (ii)

2A=120

Therefore A=60

B=30

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