Question

if sin (A-B)=1/2 and cos ( A+B) =1/2=0° angle A+angle B angle 90° and A greater than B, then find A and B​

Answer 1

Answer:

you are intelligent do it by your own

Answer 2

Step-by-step explanation:

ANSWER

Given sin(A+B)=1

⇒sin(A+B)=sin90

o

(∵sin90

o

=1)

⇒A+B=90

o

…………(1)

Again, cos(A−B)=

3

/2

⇒cos(A−B)=cos30

o

(∵cos30

o

=

3

/2)

⇒A−B=30

o

…………(2)

Adding (1)+(2)

A+B+A−B=90

o

+30

o

⇒2A=120

o

⇒A=120/2

⇒A=60

o

Putting A=60

o

in equation-(2) we get

A−B=30

o

⇒60

o

−B=30

o

⇒60

o

−30

o

=B

⇒B=30

o

∴A=60

o

;B=30

o

.