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

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.

me

step-by-step explanation:

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)