Respuesta :

mergl
sintheta=-3/5
tantheta=3/4
csctheta=-5/3
cottheta=4/3

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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