tantcottcostSolutionSolution let y tantcottcost y tantcos

tan(t)[cot(t)-cos(t)]

Solution

Solution:

let,

y = tan(t)[cot(t)-cos(t)]

=> y = tan(t)[cos(t)/sin(t) - cos(t)]

=> y = tan(t)[cos(t)- sin(t)cos(t)]/sin(t)

=> y = sin(t)/cos(t)[cos(t)- sin(t)cos(t)]/sin(t)

=> y = [cos(t)- sin(t)cos(t)]/ cos(t)

=> y = 1 - sin(t)