Answer:
tg (-60°) = -√3
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.