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

8-47.
  1. Given the equation s2 + c2 = 1, simplify each of the following expressions. Homework Help ✎

    1. c2 + s2

    2. 1 – c2

    3. 1 – s2

    4. s + c

    5. 4(1 – s2)

    6. 4 – 4s2

Rewrite the given equation in its various forms.
Substitute the appropriate expressions in each of the parts below.

s2 = 1 − c2
c2 = 1 − s2

Factor out a 4 first. Then substitute an expression for s2.