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sin ( A+B) = √3/2
A + B = 60 ---------1. ( sin60 = √3/2)
cot (A-B) = 1
A-B = 45 --------2. ( cot 45 = 1 )
Use elimination method from 1 & 2
A + B = 60
A - B = 45
__________
2A = 105
A = 105 / 2 = 52.5
from equation 1
A + B = 60
52.5 + B = 60
B = 60 - 52.5
B = 7.5
A + B = 60 ---------1. ( sin60 = √3/2)
cot (A-B) = 1
A-B = 45 --------2. ( cot 45 = 1 )
Use elimination method from 1 & 2
A + B = 60
A - B = 45
__________
2A = 105
A = 105 / 2 = 52.5
from equation 1
A + B = 60
52.5 + B = 60
B = 60 - 52.5
B = 7.5
Answered by
0
Answer:
A = 105/2 and B = 15/2✅
⭕⭕⏭️⏭️⭕⭕
WE HAVE,
sin (A+B)= √3/2
-:sin 60=√3/2
SO ,A +B = 60. ......(1)
AND WE HAVE,
Cot (A- B) =1 -:cot 45=1
so ,. A-B = 45 ........(1)
adding➕ equation (1) and (2)
2A = 60+45
A = 105/2 ☑️
put the value of A in equation (2)
A - B = 45
105- B=
B = 105/2 -45
B = 15/2 ☑️
hope it helps u .
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