Question

If sin (A-B) = ½, cos (A+B) = ½, 0° <A+B _<90°,A>B,find A and B respectively A:30°,60° B:60°,30° C:15°,45° D:45°,15°​

Answer 1

Answer:

So D:45°,15° is correct

Step-by-step explanation:

sin (A-B) = ½, cos (A+B) = ½,

0° < A+B < 90° and A > B

A+B is less then 90

so all ratios are +ve

cos (A+B) = ½

cos (A+B) =cos 60°

SO A+B=60°...........(1)

sin(A-B)=1/2= sin30°

So A-B=30°................(2)

adding (1) and 92)

2A=90,A=45°

45-B=30

B=45-30=15°

So D:45°,15° is correct

Answer 2

Answer:

D : 45° , 15°

is correct

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