Find acute angles A and B satisfying cot(A + B) = 1, cosec(A - B) = 2
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Step-by-step explanation:
cot (A+B)=1. cosec(A-B)=2
A+B=45 (cot 45=2). ----–-----(1)
A-B=30 (cosec 30=2). ---------------(2)
A-B=30
A=30+B
putting the value of A in equation (1)
30+B+B=45
2B=45-30
2B=15
B=15/2
putting the value of B in equation (1)
A+15/2=45
A+15=45×2
A+15=90
A=90-15
A=75
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