Question

-) If sin (A - B)=1/2 , cos (A + B) =1/2 then find the value of A and B.
(A
S
then find the value of A and B.​

Answer 1

Answer:

a=45;b=15

Step-by-step explanation:

sin a-b=1/2

a-b=60

a+b=30

2a=90

a=45

b=15

Answer 2

Answer:

A = 45° , B = 15°

Step-by-step explanation:

$i) sin(A-B) =\frac{1}{2}$

$\implies sin(A-B) =sin\:30\degree$

$\implies A-B = 30\degree \:---(1)$

$ii) cos(A+B) =\frac{1}{2}$

$\implies cos(A+B) =cos\:60\degree$

$\implies A+B = 60\degree \:---(2)$

/* Add equations (1) and (2) , we get

$\implies 2A = 90$

$\implies A = \frac{90}{2}\\=45\degree$

/* Substitute A = 45° in equation (2), we get

$45\degree +B = 60\degree$

$\implies B = 60-45=15\degree$

Therefore,

A = 45° , B = 15°

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