Question

if cos(a+B/3)=1/2 and sin(A-2B/3)=1/2,then angle Aand B are respectively​

Answer 1

Answer:

A= 90

B = 90

Step-by-step explanation:

cos(A+B/3) = 1/2

sin(A-2B/3)=1/2

As we know, cos(60°) = 1/2

Hence A+B/3 = 60

=> A+B = 60×3

=> A+B = 180

=> A= 180-B ———(1)

Now we know that, sin(30°) = 1/2

therefore, A-2B/3 = 30

=> A-2B = 30×3

Putting the value of A from equation (1), we get,

=> 180-B-2B = 90

=> -B = 90 - 180

=> - B = -90

=>B = 90

THEREFORE, A= 180- B

=> A=180-90

=> A= 90