Question

if sin(A-B) =1/2,cos(A+B)=1/2 then the values of A and B are respectively​

Answer 1

Answer:

(A-B)= 30

(A+B)= 60

-b and b get cancel then add right side A+A and 30+60

u get 2A=90

A=90/2

A=45

(45+B)=60

B=60-45

B=15

so u get A=45 and B=15

I hope it will help u

Answer 2

Answer:

A= 45 and B = 15

Explanation:

sin(a-b)=1/2

sin 30 = 1/2

sin(a-b) =sin 30 [ sin will cancel out from both sides ]

a-b = 30 [ 1 equation ]

cos(a+b)=1/2

cos 60 = 1/2

cos(a+b) = cos 60 [ cos both side will cancel out]

a+b = 60 [2 equation ]

equating 1 and 2 equation

a+b = 60

a-b = 30

2a = 30

a = 15

put the value of a in any equation

a+b = 60

15+b = 60

b = 60 - 15

b = 45

HOPE IT WILL HELP U !!!!!!!

THANKS