Respuesta :

Answer:  [tex]\bold{csc\ (-600^o)=\dfrac{2\sqrt3}{3}}[/tex]

Step-by-step explanation:

csc (-600°)

First, find a coterminal angle on the unit circle:

-600 + 360 = -240

                      -240 + 360 = 120

Next, look at the Unit Circle to find the sin (120°)

sin (120°) = √3/2

Lastly, csc is the reciprocal of sin

csc (120°) = 2/√3

Rationalize the denominator to get: (2√3)/3

Trigonometry are expressed as a function of sine, cosine and tangent. The value of the trigonometry identity is 2/√3

Trigonometry identity

Trigonometry are expressed as a function of sine, cosine and tangent.

Given the expression csc(-600°). According to the identity

csc theta = 1/sintheta

csc(-600°) = 1/-sin600

Reduce the angle

csc(-600) = -1/sin240

csc(-600) =  -1/-0.8660
csc(-600) = 2/√3

Hence the value of the trigonometry identity is 2/√3

Learn more on trig identity here:  https://brainly.com/question/7331447

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