Question

Use a unit circle to find an expression that is equivalent to sin(1 - 0) for any real number I. (1 point) O sin( TT - 1) = cos I O sin(T-1) = -sin I O sin(1 - 1) = sin r O sin (1 - 1) = - COSI

Answer 1

The expresion sin(x) is equivalent to sin (pi - x) because we can see from the sin of a subtraction of angles that:

sin(A-B) = sin(a) cos(B) - sin(B) cos(A)

in our case:

sin(pi - x) = sin(pi) cos(x) - sin(x) cos(pi)

since sin(pi) = 0 , the the first term above becomes a zero. And since cos(pi) = "-1", then the second term becomes -sin(x) times (-1) = sin(x)

sin(pi - x) = sin(pi) cos(x) - sin(x) cos(pi) = 0 - sin(x) * (-1) = sin(x)

Therefore, please select the third answer in your list of options.