If csc theta=-5/4 and theta is between 180 and 270 what is the value of cos

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Question:

if csc theta=-5/4 and theta is between 180 and 270 what is the value of cos

Answers

to solve the question for cos θ will be found as follows:csc θ=-5/4butcsc θ=1/sin θthussin θ=-4/5thusθ=arcsin (-4/5)θ=-53.130but since the value lies between 180 and 270, our value will be:180-(-53.130)=233.16thuscos233.16=-0.59958

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