Question

If cos( A+B) = 1/2 = sin (A-B), then
find A and B when it is given that (A + B) AND ( A-B) are acute angles​

Answer 1

Answer:

here it is

Step-by-step explanation:

given that cos (a+b) = 1/2 from trigonometric values we know that :

cos 60°=1/2

so a+b = 60 ----- i

Now, sin(a-b) = 1/2

we know that sin 30° = 1/2

so a-b = 30 ----ii

from eq. ii

a= 30+ b (put the value in eq. i ) ------iii

so 30+b +b = 60

2b= 30

so the value of b is 15° (put the value in iii)

a= 30 + 15 so a is 45°

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Answer 2

Answer:

The answer is given in the above picture.

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