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Find the sine, cosine, and tangent of 120 degrees. (5 points) Sin 120 degrees = square root of 3 divided by 2, cos 120 degrees = negative 1 divided by 2, tan 120 degrees = negative square root of 3 Sin 120 degrees = negative 1 divided by 2, cos 120 degrees = square root of 3 divided by 2, tan 120 degrees = negative square root of 3 Sin 120 degrees = square root of 3 divided by 2, cos 120 degrees = 1 divided by 2, tan 120 degrees = square root of 3 Sin 120 degrees = square root of 3 divided by 2, cos 120 degrees = negative 1 divided by 2, tan 120 degrees = negative square root of 3

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120° will be found on in the second quadrant of the unit circle. Specifically, the reference angle will be 60°. This is because the angle measurement starts from the positive x axis, and rotates 120° counter-clockwise. The angle formed at this point between the line and the x-axis (negative direction) is 60°.

The special right triangle formed will have a hypotenuse of 1, and a reference angle of 60°.
We know that the adjacent line, the line opposite the 30° angle, will be 1/2 the hypotenuse, or -1/2. Negative because it goes in the negative x direction.
The opposite end, or vertical side, will be √3/2.

sin(120) = opposite/hypotenuse = √3/2 ÷ 1 = √3/2

cos (120) = adjacent/hypotenuse = (-1/2) / 1 = -1/2

tan (120) = opposite / adjacent = (√3/2) / (-1/2) = -√3

The value of SIn120° is √3/2, the value of Cos120° is  -1/2, and the value of Tan120° is -√3 option first is correct.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We know sin is the ratio of the side opposite to the angle to the hypotenuse.

SIn120° = SIn(90+30) ⇒ Cos30°    [Sin(90+Ф) = CosФ]

From the trigonometric ratio's table the value of the Cos30°;

SIn120° = Cos30° = √3/2

Cos is the ratio of the adjacent to hypotenuse

Cos120°  = Cos(90+30) ⇒ -Sin30°    [Cos(90+Ф) = -SinФ]

From the trigonometric ratio's table the value of the Sin30°;

Cos120° = -Sin30° = -1/2

Tan is the ratio of the opposite to adjacent

Tan120°  = Tan(90+30) ⇒ -Cot30°    [Tan(90+Ф) = -CotФ]

From the trigonometric ratio's table the value of the Cot30°;

Tan120° = -Cot30° = -√3

Thus, the value of SIn120° is √3/2, the value of Cos120° is  -1/2, and the value of Tan120° is -√3 option first is correct.

Know more about trigonometry here:

brainly.com/question/26719838

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