Question

OR
If sin (A-B) =
cos (A + B) =
0 <A+B s 90 AB find A and B.
2.​

Answer 1

Answer:

sin(A−B)=  

2

1

​  

⇒sin(A−B)=30  

o

[∵sin30  

o

=  

2

1

​  

]

On equating both sides

A−B=30  

o

...(1)

cos(A+B)=  

2

1

​  

⇒cos(A−B)=cos(60  

o

)[∵cos(60  

o

)=  

2

1

​  

]

On equating both sides

A+B=60  

o

..(2)

Adding (1) and (2)

2A=90  

o

⇒A=45  

o

 

Putting value of A in (i)

45  

o

+B=60  

o

⇒B=15  

o

 

Hence A=45  

o

; B=15  

o