What is the exact value of tangent (negative StartFraction pi Over 3 EndFraction) ?

Negative StartRoot 3 EndRoot

Negative StartFraction StartRoot 3 EndRoot Over 3 EndFraction

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

StartRoot 3 EndRoot

option 1

tg (-60°) = - √3

Step-by-step explanation:

We can solve this, using a calculator, but I would like you to understand this problem without the use of that.

This is trigonometry, so first we need to know the value of pi in trigonometry.

The value of π is equals to 3.14 but in this case, we need to take the value of π in degrees. This value is 180°.

Now, the following step is replace this value into the expression:

tg (-180/3) = tg (-60°)

So the actual value we are looking for is tangent of 60°. Tangent can be calculated using the expression with the sin and cosine so:

tg = sin/cos

so to get the value of tg 60°:

tg 60° = sin 60° / cos 60°

The value of sin 60° = √3/2, while the value of cos 60° = 1/2, so replacing both values above, we can get the value of tg 60°:

tg 60° = (√3/2) / (1/2) both 2 gets cancel out so:

tg 60° = √3 / 1

tg 60° = √3

As we want tg (-60) the real value would be:

tg (-60°) = - √3

So the answer would be option 1.