Respuesta :
The exact values of (csc theta) and (cot theta) are -5/4 and 3/4
Trigonometry identity
This are expressed as a function of sine, cosine and tangent
Given the expression
cos theta= -4/5 = adjacent/hypotenuse
Determine the opposite
Opp² = 5² - 3²
Opp² = 25 - 9
Opp = √16 = 4
Determine csc theta
csctheta = 1/sin theta
csctheta =1/(4/5)
csctheta =5/4
Since sine is negative in quadrant III, hence csctheta = -5/4
cot theta = 1/tan theta
cot theta = 1/(4/3)
cot theta = 3/4
Hence the exact values of (csc theta) and (cot theta) are -5/4 and 3/4
Learn more on trig identity here: https://brainly.com/question/7331447
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