Question

How do you use a calculator to evaluate `tan((5pi)/6)`?

Answer 1

• 0.577

Explanation:

`tan (5pi)/6 = tan ((900)/6) = tan 150^@`
Calculator --> tan 150 = - 0.577

Answer 2

`tan ((5pi)/6)=-0.57735027`

Explanation:

`tan ((5pi)/6)`

`:.=tan((5 xx 3.141592654)/6)`

`:.=tan(15.70796327/6)`

`:.=tan2.617993878`

`:.=-0.57735027`

Note

• (1) you can choose value of `pi` from calculator and then multiply it by `5` and then divide by `6` to get `2.617993878`

• (2) the angle `2.617993878` is in radians, hence choose the mode for angles in radians

• (3) and then in calculator choose ratio tan to get `tan ((5pi)/6)`

You can also use `180^@`, in place of `pi`, to start entering angle directly in degrees and then multiplying by `5` and dividing by `6` gives `150` in degrees and `tan150^@=-0.57735027`

Answer 3

`:.=-0.577350269`

Explanation:

To convert radians to degrees multiply by `180/pi`

To convert degrees to radians multiply by `pi/180`

`tan((5pi)/6)` radians

`:.=tan(((5cancelpi^1)/cancel6^1) xx cancel180^30/cancelpi^1)` degrees

`:.=tan(150°)`

`:.=-0.577350269`