Question

If Sin (A+ B) = 1 and cos (A- B)=1
find A and B?​

Answer 1

Answer:

A=45°,B=45°

Explanation:

It is given that,

i)sin(A+B)=1

=>sin(A+B)=sin90°

=>A+B=90°----(1)

ii)cos(A-B)=1

=>cos(A-B)=cos0°

=>A-B=0°----(2)

Addequations (1)&(2),weget

=>A+B+A-B=90°-0°

=>2A=90°

=>A=90°/2

=>A=45°

SubstituteA=45°inequation(1),

weget

45°+B=90°

=>B=90°-45°

=>B=45°

Therefore,

A=45°,B=45°

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