Spot the false trigonometry claim

Exercise and reference answers

Questions

1. False statement

   Tangent is an even function.

   Statements

   1. Cosine and secant are the two even trigonometric functions.
   2. Tangent is an even function.
   3. The graph of an odd function is symmetric about the origin.

2. False statement

   The period of the tangent function is 2 pi.

   Statements

   1. The period of the sine function is 2 pi.
   2. Cotangent is an odd function.
   3. The period of the tangent function is 2 pi.

3. False statement

   Double-angle formulas come from the half-angle formulas.

   Statements

   1. Double-angle formulas come from the half-angle formulas.
   2. Reduction formulas lower the power of a trigonometric term.
   3. Half-angle formulas come from the reduction formulas.

4. False statement

   A product-to-sum formula multiplies two sums together.

   Statements

   1. Product-to-sum formulas turn products into sums.
   2. A product-to-sum formula multiplies two sums together.
   3. Sum-to-product formulas turn sums into products.

Instructions

Tap the one statement in each set that is false.

Explanation