Question: Why would knowing the Pythagorean identitysin 2 x + cos 2 x = 1and the sum identities allow you to prove all the other identities

  1. Why would knowing the Pythagorean identitysin2x+ cos2x= 1and the sum identities allow you to prove all the other identities you have seen in this lesson?
  2. Is sin(sin-1x) = sin-1(sinx) an identity? Why or why not?
  3. How would you explain to someone who has not yet studied trigonometry the difference between an identity and an equation?

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