### Home > PC > Chapter 4 > Lesson 4.1.1 > Problem 4-8

4-8.

Given the equation

*s*^{2}+*c*^{2}= 1, simplify each of the following expressions. Homework Help ✎*c*^{2}+*s*^{2}1 −

*c*^{2}1 −

*s*^{2}*s*+*c*4(1 −

*s*^{2})4 − 4

*s*^{2}

Rewrite the given equation in its various forms.

Substitute the appropriate expressions in the problems below.

*s*^{2} = 1 − *c*^{2} *c*^{2} = 1 − *s*^{2}

This is the same as: *s*^{2} + *c*^{2}

This cannot be further simplified.

Factor out a 4 first. Then substitute an expression for *s*^{2}.