If cosec (A+B)equal to 1 and cot (A-B) equal to root 3,0 degrees less than a+b less than or equal to 90 degrees ,a greater b,then find a and b
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Step-by-step explanation:
cosec(a+b)=(cosecA.cosecB)/(cotA+cotB)=1
cot(a-b) =(cotA.cotB-1)/(cota+cotb)=√3
cosec(a+b)=1=cosec(90)
a+b=90--(1)
cot(a-b)=√3=cot30
a-b=30----(2)
by elimination method
a+b-90-a+b+30=0
=>2b=60
=>b=30 substitute in (1)
a+30=90
=>a=60
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