Question

if cos(A+B) =1/2, sin (And) =1/2, 0<A+B < 90°, if A>B, find A and B​

Answer 1

Answer:

A= 45

B = 15

Step-by-step explanation:

As given Sin (A-B) =1/2

and we know that Sin30 = 1/2

A-B = 30

given Cos (A+B) =1/2/

and we know that Cos60 = 1/2

A+B = 60

on solving these two euation

A= 45

B = 15

Answer 2

Answer:

A = 45° and B = 15°

Step-by-step explanation:

cos(A + B) = 1/2

⇒ cos(A + B) = cos (60o) [cos (60o) = 1/2]

On equating both the sides, we get

A + B = 60o …(2)

On Adding Eq. (1) and (2),

we get

2A = 90o

⇒ A = 45o

Now, Putting the value of A in Eq.(2), we get

45o + B =60o

⇒ B = 15o Hence,

A = 45° and B = 15°