Question

cos(A+B)=1 sin(A-B)= 1/2root find A, B

Answer 1

Hello !!


Cos0° = 1

And,


Sin45° = 1/✓2



Cos ( A + B ) = 1


Cos ( A + B ) = Cos0



A + B = 0 ----------(1)


And,



Sin ( A - B ) = 1/✓2



Sin ( A - B ) = Sin45



A - B = 45 --------(2)

From equation (1) we get,

A + B = 0


A = (- B )


Putting the value of A in equation (2)



A - B = 45



-B - B = 45



-2B = 45



B = - 45/2



Putting the value of B in equation (3)


A = -B = -(-45/2) = 45/2


Hence,


A = 45/2 and B = -45/2 .

Answer 2

Here is your answer


a+b=0__(1)
a-b=45__(2)
subtract eq(1) and eq(2)

-2b=45
b=-45/2
and
a = 45/2.


Hope it helps you ^_^