if tan (2A+B)=√3 and cot (3A-B) =√3. find the value of A and B
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Step-by-step explanation:
the value of root 3 is tan 60⁰
2A+B=tan 60⁰ (1)
3A-B= tan 60⁰ (2)
add eq 1 and 2
2A+B=60⁰
3A-B= 60⁰
_________
5A=120⁰
A=24⁰
substitute the value A=24 in eq 1
2(24)+B=60⁰
48+B=60⁰
B=60⁰-48⁰
B=12⁰
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