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Question

If cosec(A+B)=23,sec(AB)=23,0oA+B90o, 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 0o<A+B90o
cosec(A+B)=23 only when A+B=60o ............ (1)
sec(AB)=23, only when AB=30o ............ (2)
By Solving equation 1 and equation 2
A=45o and B=15o

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