If sec theta 54 tan theta 0 find cot theta please show wor

If sec theta = 5/4, tan theta > 0, find cot theta          please show work

Solution

sec theta = 5/4, tan theta > 0, find cot theta

We have : tan theta > 0, sec theta>0 it means theta is in Ist quadrant

costheta = 1/sec theta = 4/5

height = sqrt( 5^2 -4^2) = 3

tan theta = 5/3

cot theta = 1/tan theta = 3/5