The Pythagorean identities

Exercise and reference answers

Questions

1. Question

   cos²x + sin²x equals

   Choices

   1. 0
   2. 1
   3. 2

   Correct choice

   1

2. Question

   1 + tan²x equals

   Choices

   1. cosec²x
   2. cot²x
   3. sec²x

   Correct choice

   sec²x

3. Question

   1 + cot²x equals

   Choices

   1. cosec²x
   2. sec²x
   3. tan²x

   Correct choice

   cosec²x

4. Question

   Which identity involves cosec?

   Choices

   1. 1 + tan²x
   2. 1 + cot²x
   3. cos²x + sin²x

   Correct choice

   1 + cot²x

Explanation