Back to the studio New seed 4 problems · seed AQ34NGAF49EXXQDWRP7AZBK0R0

True or False?

A real identity — half of them subtly broken. You guess; the verdict is checked, not assumed.

Randomly
equations.identity
Name Class Date
  1. 1.
    cos(2x) = 1 - 2sin(x)^2
  2. 2.
    ln(a^3) = 2ln(a)
  3. 3.
    sin(a - b) = sin(a)cos(b) - cos(a)cos(b)
  4. 4.
    2sin(a)cos(b) = sin(a + b) + sin(a - b)

Answer key

True or False? — seed AQ34NGAF49EXXQDWRP7AZBK0R0

Randomly
equations.identity
  1. 1. True
  2. 2. False — the coefficient 3 became 2; it should read ln(a^3) = 3ln(a)
  3. 3. False — a sin became a cos; it should read sin(a - b) = sin(a)cos(b) - cos(a)sin(b)
  4. 4. True