Sine, cosine and tangent of edge 2π / 3 radians
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Let united state remind ourselves the 2π / 3 in levels is 120 degrees.(2 * 180/3 = 120). Thus, to find the worth of the trigonometric role for the edge 2π / 3 and also for the edge of 120 degrees is the same.

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How to find the worths of trigonometric features for an angle of 120 degrees

discover the worths of the sine, cosine and tangent because that an edge of 120 degrees in an analytical way. At an initial glance, recognize the values of the sine, cosine and tangent because that an edge of 120 degrees is a daunting task. However, this is not quite true. First of all, we must pay fist that for angles whose values exceed 90 degrees, we haveformulas because that reducing come an angle less than 90 degrees.. Therefore, to start with, imagine an angle of 120 levels as (90 + 30) climate sin ( 90 +α ) = cosα
sin 120 = sin( 90 + 30 ) = cos 30 cos ( 90 +α ) = - sinα cos 120 = cos( 90 + 30 ) = -sin 30 tg( 90 +α ) = -ctgα tg 120 = tg( 90 + 30 ) = -ctg 30 currently you cansee the values in the sine, cosine and tangent tables1of 120 degrees, i beg your pardon is convert to trigonometric features of the sine, cosine and also tangent that the edge of 30 degrees. In the lesson you deserve to see exactly how to calculate the values of trigonometric attributes for an angle of 30 degrees. together a result, we get:

As have the right to be seen from the example, the values of the trigonometric features of the sine, cosine and tangent angles 120 levels can be acquired by straightforward trigonometric revolutions using trigonometric identities.

see also the full table of worths for trigonometric attributes (table that sines, cosines and tangents).

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listed below are additionally the values of trigonometric attributes for an angle of 120 degrees in the type of a decimal portion with 4 decimal places.

2π/3 sine 120 sin 120 cosine 120 cos 120 tangent 120 tg 120 cotangent 120 ctg 120
Value 0,8660 -0,5000 -1,7321 -0,5774

Sine, cosine, tangent angle of 105 levels (sin 105 cos 105 tg 105) |Описание курса| Trigonometric identities and transformations

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