Write the trigonometric expression as an algebraic expressio

Write the trigonometric expression as an algebraic expression. sin(cos^-1 x)

Solution

Solution:

As we know;

sin²x + cos²x = 1

i.e,

If, x[1,1] and = cos^-1(x) then:

[0,]

sin() 0

=> sin(cos^-1(x)) = sin()

=> sin(cos^-1(x)) = (1cos²)

=> sin(cos^-1(x)) =  (1x²)