Why is sin 60 and sin 120 the same?

The value 120 degrees falls on the second quadrant. As the value of sine function in the second quadrant takes the positive value, the value of sin 120 degrees should be a positive value. By looking at the diagram given above, the value of sin 60 is equal to the value of sin 120. It means that, sin 60 = sin 120 = √3/2.

What fraction is cos 60?

1/2
The value of cos 60 is 1/2.

What is the value of Cos 120 in two angles?

We can show that 120 degrees can be represented in two angles, whose value can be taken from trigonometry table. 90 degree and 180 degree. 180 – 60 = 120 ———– (1) 90 + 30 = 120 ———— (2) Let’s use these now. Cos 120 = cos(180 – 60) = – cos 60 = -½ (cos(180 +x) = – cos x)

How do you find the value of cos 60 degrees?

The Cartesian plane is divided into four quadrants. The value of cos 60 takes place in the first quadrant. Some degree values of sine functions and cosine functions are taken from the trigonometry t able to find the value of cos 60 degrees. The other values of trigonometric ratios for different angles are given here

How do you find cosine from 90 degrees to 180 degrees?

From 90° to 180°, we increase the number under the radical by 1 instead, but also must take into account the quadrant that the angle is in. Cosine is negative in quadrants II and III, so the values will be equal but negative. In quadrants I and IV, the values will be positive.

How do you find the value of cosine for each angle?

Starting from 0° and progressing through 90°, cos⁡ (0°)=1=. The subsequent values, cos (30°), cos (45°), cos (60°), and cos (90°) follow a pattern such that, using the value of cos (0°) as a reference, to find the values of cosine for the subsequent angles, we simply decrease the number under the radical sign in the numerator by 1, as shown below: