The value of tan(92π/3) can be found by using the periodic property of the tangent function. The period of the tangent function is π, so we can add or subtract multiples of π to the angle without changing the value of the tangent.

Step 1: Simplify the fraction 92π/3 = 30π + 2π/3.

Step 2: Since the period of the tangent function is π, tan(30π + 2π/3) = tan(2π/3).

Step 3: The value of tan(2π/3) is -√3.

So, the value of tan(92π/3) is -√3. Therefore, the correct answer is B) -√3.

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The value of tan(92π/3) can be found by using the periodic property of the tangent function. The period of the tangent function is π, so we can add or subtract multiples of π to the angle without changing the value of the tangent.

Step 1: Simplify the fraction 92π/3 = 30π + 2π/3.

Step 2: Since the period of the tangent function is π, tan(30π + 2π/3) = tan(2π/3).

Step 3: The value of tan(2π/3) is -√3.

So, the value of tan(92π/3) is -√3. Therefore, the correct answer is B) -√3.

Knowee AI · Accepted Answer

The value of tan(92π/3) can be found by using the periodic property of the tangent function. The period of the tangent function is π, so we can add or subtract multiples of π to the angle without changing the value of the tangent.

Step 1: Simplify the fraction 92π/3 = 30π + 2π/3.

Step 2: Since the period of the tangent function is π, tan(30π + 2π/3) = tan(2π/3).

Step 3: The value of tan(2π/3) is -√3.

So, the value of tan(92π/3) is -√3. Therefore, the correct answer is B) -√3.

What is the value of tan92π3?A) − 3B) −33C) 33D) 3

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