Question

If sin(A+B)=1 and cos(A_B)=1 then find A and B​

Answer 1

Answer:

45

Step-by-step explanation:

Sin(a+b)=1 ——-[1].

Cos(a-b)=1———-[2]

From 1 &2

Sin(a+b)=cos (a-b)

Sin (a+b)= sin (90-a+b)

Sin gets cancelled on both sides

a+b=90-a+b

2a=90

a=45

since a and b are complementary to each other

a+ b=90

B=90-45=45

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Answer 2

Step-by-step explanation:

A+b=1........(1)

A-b=1........(2)

Combine(1)and(2)

A+b+A-b=1+1

2a=2

A=1........... (3)

Put value (3) in (1)

1+b=1

B=1-1

B=0