Question

sin(a+b)=1 and cos(a-b)=1

Answer 1

Answer: a=45° and b = 45°

Step-by-step explanation:

Firstly sin(a+b) = 1

=> sin(a+b) = sin90°

a+b = 90

Now cos(a-b) = 1

cos(a-b) = cos 0°

a-b = 0

solve for a and b by adding both equations.

a+b = 90

a-b = 0

=> 2a = 90

=> a= 45°

45°+b = 90°

=> b = 45°