If tan m=1/2 and tan n=-6 what is the exact value of tan (m+n)

Step-by-step explanation:

1) To find tan m = 1/2 on a calculator, you need to take the inverse to find m.

(1/2) is about 26°.

So, m = 26°

2) To find tan n = -6 on a calculator, you also need to take the inverse.

(-6) is -80, which is positive 280°. (360° - 80° = 280°)

n = 280°

3) SO, the exact value of tan(m + n) would be tan(26° + 280°), which is tan(306°).

tan(306°) is about -1.376.

The closest answer to -1.376 is the third answer choice, which is -11/8.

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.

answer: 1 and 3

step-by-step explanation: