Question

Find the exact value of tan and cot. if sin theta is 3/7, and cos theta is -2sqrt10/7 Rationalize denominators.

Answer 1

sin theta = 3/7

cos theta = -2sqrt10/7

tan theta =sin theta/cos theta

               =(3/7)/-2sqrt10/7

               =-3/2sqrt10

               =-3sqrt10/20

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cot theta =cos theta/sin theta

               =-2sqrt10/7/(3/7)

               =-2sqrt10/3