Question

What is the exact value of tan 30° ? enter your answer, as a simplified fraction, in the box?

Answer 1

In this question , we have to find the value of tan 30  and we need to write the answer in simplified form .

$tan x = \frac{sin x}{ cos x}$

Substituting the values of sin (30) and cos(30, we will get

$tan (30) = \frac{1/2}{ \sqrt{3} /2}$

Multiplying both numerator and denominator by 2, we will get

$tan(30 ) = \frac{1}{ \sqrt3}$

TO simplify it, we need to multiply both numerator and denominator by square root 3.

$tan(30) = \frac{ \sqrt 3}{ \sqrt3 * \sqrt 3} = \frac{ \sqrt 3}{3}$

Answer 2

Answer:

√3/3

Step-by-step explanation:

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