Use an Addition or Subtraction Formula to Write $\frac { \tan \frac { 2 \pi } { 15 } + \tan \frac { 6 \pi } { 5 } } { 1 - \tan \frac { 2 \pi } { 15 } \tan \frac { 6 \pi } { 5 } }$

question 43

Essay

Use an addition or subtraction formula to write $\frac { \tan \frac { 2 \pi } { 15 } + \tan \frac { 6 \pi } { 5 } } { 1 - \tan \frac { 2 \pi } { 15 } \tan \frac { 6 \pi } { 5 } }$ and find the exact value.

---

Definitions:

Interbellum Generation

The cohort of people born in the period between the end of World War I and the start of World War II, known for experiencing significant social and economic changes.

Silent Generation

The demographic group born between the mid-1920s to early 1940s, known for their conservative attitudes and preference for stability and silence over chaos and change.

War Babies Generation

Individuals born during or shortly after World War II, often considered part of the Silent Generation.

Baby Boomers

The demographic cohort born approximately between 1946 and 1964, known for being part of a significant increase in births following World War II.