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
#SPJ9