### Home > PC3 > Chapter 8 > Lesson 8.1.3 > Problem 8-47

8-47.

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 each of the parts below.

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

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