Chapter 7, Problem 7SGA

To determine

To select: the letter of the term that matches best with the given equation or phrase.

Answer to Problem 7SGA

  $\text{h}$

Explanation of Solution

Given information:

  $\tan 2\theta =\frac{2\tan \theta }{1-{\tan }^2\theta }$

The terms given are as follows:

1. Sum identity
2. Half-angle identity
3. Normal form
4. Principal value
5. Pythagorean identity
6. Symmetry identity
7. Normal line
8. Double angle identity
9. Reciprocal identity
10. Quotient identity
11. Opposite-angle identity

Calculation:

The given equation $\left(\tan 2\theta =\frac{2\tan \theta }{1-{\tan }^2\theta }\right)$ is a double angle identity. Thus the term h. is correct.