Question

If sin (A + B) and cos (A-B) = 1 find
)
the value of A and B.
-​

Answer 1

Answer:

A = B = 45

Step-by-step explanation:

sin ( A + B ) = 1

sin 90 = 1

A + B = 90 -----> eq 1.

cos ( A - B ) = 1

cos 0 = 1

A - B = 0

A = B

Substitute in eq 1,

A + B = 90

A + A = 90

2A = 90

A = 90 / 2

A = 45

Substitute A = 45 in eq 1,

45 + B = 90

B = 90 - 45

B = 45

Therefore,

A = B = 45