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Question

In a ABC,ab=2+3 and C=60. Then the ordered pair (A,B) is equal to:

A
(45,75)
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B
(75,45)
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C
(105,15)
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D
(15,105)
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Solution

The correct option is C (105,15)
ab=2+31
By componendo and dividendo,
a+bab=3+31+3=3
Now, By Napier's law,
tanAB2=aba+b cotC2
tanAB2=1
AB2=45
AB=90
Also, A+B=120
A=105, B=15

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