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25 March, 01:52

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

+5
Answers (2)
  1. 25 March, 02:15
    0
    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.
  2. 25 March, 02:18
    0
    option 1
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