Question

Tg120*cos120+sin120=?

Answer 1

Корень из 3

(-корень из 3*(-0,5)+корень из 3 делить на 2)

Answer 2

To solve this expression, we can use trigonometric identities and properties. Let's break it down step by step:

1. Recall that cosine and sine are periodic functions with a period of 360 degrees (or 2π radians). This means that cos(120) = cos(120 + 360) = cos(480), and sin(120) = sin(120 + 360) = sin(480).

2. Since cosine and sine are periodic, we can subtract multiples of the period from the angles while preserving the values of the functions. In this case, we can subtract 360 from 480 to get the equivalent angles within the first period: cos(480) = cos(480 - 360) = cos(120), and sin(480) = sin(480 - 360) = sin(120).

3. Now, we have cos(120) and sin(120), which we can evaluate.

cos(120) = -0.5 (This value can be found using the unit circle or trigonometric tables.) sin(120) = √3/2 (This value can also be found using the unit circle or trigonometric tables.)

4. Substitute these values back into the original expression:

Tg120*cos120 + sin120 = Tg120 * (-0.5) + √3/2

The result depends on the value of Tg120, which represents the tangent of 120 degrees. Please provide a specific value for Tg120, and I can calculate the final result for you.