If cosec(A+B)=2√3,sec(A−B)=2√3,0o≤A+B≤90o, 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+B≤90o cosec(A+B)=2√3 only when A+B=60o ............ (1) sec(A−B)=2√3, only when A−B=30o ............ (2) By Solving equation 1 and equation 2 A=45oandB=15o