Question

If tan(A+B) = Root 3 and cos(A-B) = Root 3 by 2, then what are the values of A and B...

(a) 45, 15
(b) 15, 30
(c) 40, 20
(d) 60, 30

Please answer asap...



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Answer 1

Answer:

tan(A+B)=√3=tan 60

A+B=60

A=60-B

cos (A-B)=√3/2=cos 30

A-B=30

A=30+B

so,

30+B=60-B

=> B+B=60-30

=> 2B=30

=> B=30/2=15

A=30+B=30+15=45

so , A=45° and B=15°

(a) is the right answer