Log in to add a comment

## Answers

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

Cos(A+B) = 1/2

⇒cos (A+B) = cos(60) (as 0<A+B<90)

⇒A+B = 60

sin(A-B) = 1/2

⇒sin(A-B) = sin(30) or sin (150)

⇒A-B = 30 or 150

Solving we get, A = 45 and B = 15

A>B is satisfied.

Solving, we get A = 105, B = -45

A>B is satisfied.

So the value of A can be

⇒cos (A+B) = cos(60) (as 0<A+B<90)

⇒A+B = 60

sin(A-B) = 1/2

⇒sin(A-B) = sin(30) or sin (150)

⇒A-B = 30 or 150

__Case:1__

A - B = 30__A + B = 60__Solving we get, A = 45 and B = 15

A>B is satisfied.

__Case:2__

A - B = 150__A + B = 60__Solving, we get A = 105, B = -45

A>B is satisfied.

So the value of A can be

**45 or 105.**
The Brainliest Answer!

sin(A-B) =sin 30 (bcause 1/2=30)

A-B=30---------------------1

cos(A+B) = 1/2

cos (A+B) =cos 60

A+B = 60-------------------2

Adding 1 and 2 we get 2A = 90

A = 90/2

A= 45

substituting A=45 in 1

A-B = 30

45-B=30

-B=30-45

-B=-15

B=15