Answer:
![tan(56)/(15)](https://img.qammunity.org/2022/formulas/mathematics/college/lzypwnv6cpqpia8ts49yxxygojm840mgsa.png)
Explanation:
We are given the trigonometrical equation of tan( 4/3 + 12/5) and are asked to find the answer.
To solve this, keep in mind that even though this has tan, the process of adding fractions is no different from the original format.
First, find the LCM of 3 and 5, this would be 15. Multiply the numbers to get to 15 (3 and 5) by both denominators and numerators.
![(4*5)/(3*5) + (12*3)/(5*3)](https://img.qammunity.org/2022/formulas/mathematics/college/ohhc83iyotyb32qjqhuyk7ll5c73wvgmkx.png)
![(20)/(15)+(36)/(15)](https://img.qammunity.org/2022/formulas/mathematics/college/nm12v7p46sleiqkwtpz3gb4yk4de47sqhp.png)
![(56)/(15)](https://img.qammunity.org/2022/formulas/mathematics/college/r7jzbpalh6v4c7z21ved85dmro56wmsn3e.png)
Our answer would be
![tan(56)/(15)](https://img.qammunity.org/2022/formulas/mathematics/college/lzypwnv6cpqpia8ts49yxxygojm840mgsa.png)