Find the exact values of the remaining trigonometric functio

Find the exact values of the remaining trigonometric functions of satisfying the given conditions. (If an answer is undefined, enter UNDEFINED.)

cos = 12/13 , tan < 0

sin =

tan =

csc =

sec =

cot =

Solution

cos theta=12/13, tan theta is negative means theta is in fourth quadrant where cos and sec are positive .

sin theta=sqrt(1-cos2theta) = sqrt(1-144/169)=-5/13

tan theta= sin theta/cos theta= -5/12

cot theta=1/tan theta=-12/5

sec theta=1/cos theta=13/12

csc theta=1/sin theta=-13/5

Find the exact values of the remaining trigonometric functions of satisfying the given conditions. (If an answer is undefined, enter UNDEFINED.) cos = 12/13 , t

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