From the information below find csc sec and cot Thank you

From the information below, find csc ?, sec ?, and cot ?. Thank you.

Find the requested function value of theta. If sin theta = squareroot 13/7, cos theta = 6/7, and tan theta = squareroot 13/6, then find csc theta, sec theta, and cot theta.

Solution

sin theta = sqrt 13 / 7

csc theta = 1 / sin theta

hence , csc theta = 7 / sqrt 13 or 7 sqrt 13 / 13

cos theta = 6/7

sec theta = 1 / cos theta

hence, sec theta = 7 / 6

tan theta = sqrt 13 / 6

cot theta = 1 / tan theta

hence, tan theta = 6 / sqrt 13 or 6 sqrt 13 / 13