Question

If A and B are acute angles such that cos
(A+B/2)=1v2
and 2 sin(A - B)=1
find the values of A and B.

Answer 1

Answer:

Assuming that A and B are acute angles,

sin(A−B)=

2

1

⟹A−B=30 ---(1)

cos(A+B)=

2

1

⟹A+B=60 ---(2)

(1)+(2)

2A=90⟹A=45

∘

Hence B=15

∘

Step-by-step explanation:

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