Question

sin[30degree-A] = cos[70degree-A] then A =

Answer 1

Answer:

A = 5 degrees

Step-by-step explanation:

sin(30 - A) = cos(70 - A)

=> sin(30 - A) = sin[90 - (70 - A)] since cos theta = sin( 90 - theta)

=> sin(30 - A) = sin( 90 - 70 + A)

=> sin(30 - A) = sin(20 + A)

=> 30 - A = 20 + A

=> 2A = 10

therefore A = 5 degrees