Question

Give the answer as a multiple of π. Do not use decimal numbers. The answer should be a fraction or an integer. Note that π is already included in the answer so you just have to enter the appropriate multiple. E.g. if the answer is π/2 you should enter 1/2. If there is more than one answer enter them separated by commas.

|tan(t)|=(√3)
Answer should be t=[ ]pi

Answer 1

`t=\left((1)/(3)\right)\pi`

Explanation:

If |tan(t)|=(√3)

Then:

`t=tan^(-1)√(3) =(\pi)/(3) \\t=\left((1)/(3)\right)\pi`

Note that t is in radians.

If you take the inverse trigonometric ratio in degrees, you will get 60 degrees which is still equivalent when converted to radians.