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Which function is odd? Check all that apply. A. y = sec x B. y = sin x C. y = cot x D. y = csc x
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B
Check the graphic
just substitute x with -x if you get +x means is even, if you get -x means is odd
I know its b and d but not sure of c?
y = sec x = 1/cos x substitute -x 1/ cos -x =1/cos x = sec x = y -----> even y = sin x substitute -x sin -x = - sin x = -y --------> odd y= cot x = cos x/sin x substitute -x cos -x / sin -x = cos x / (-sin x) = - cot x = -y ---------> odd y = csc x = 1 / sin x substitute -x 1/ sin -x = 1/ (-sin x)=-csc x =-y ----------> odd
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