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Question

If cosec(A+B)=23, sec(AB)=23, 0<A+B90, find A and B.


A

10o, 50o

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B

45o, 15o

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C

30o, 30o

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D

25o, 35o

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Solution

The correct option is B

45o, 15o


If A+B lies in this range 0<A+B90

cosec(A+B)=23 only when A+B=60 ........(1)

sec(A-B)=23, only when AB=30 ........(2)

By Solving equation (1) and (2)

A=45 and B=15


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