Question

If tan(A + B) = 1 and sin(2A - B) = 1, find the angles A and B.​

Answer 1

Step-by-step explanation:

tan(A + B) = 1

=> tan(A + B) = tan 45°

=> A + B = 45.............1

sin(2A - B) = 1

=> sin(2A - B) = sin 90°

=> 2A - B = 90...........2

add 1 and 2

=> 3A = 135°

=> A = 45°

=> 45° + B = 45°

=> B = 0°

Answer 2

A = 45

B = 0

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