Let be an angle in quadrant I such that cos35 Find the exact

Let be an angle in quadrant I such that cos=3/5

Find the exact values of csc and tan

We have given cos=3/5

We know the formula sin²+cos²=1 implies sin² =1-cos²=1-(9/25)=(25-9)/25 =16/25

sin² =16/25 implies sin=4/5

csc=1/ sin =1/(4/5) =5/4

tan =sin/cos =(4/5)/(3/5) =4/3 since cancelling the denominator 5

Therefore

csc=5/4

tan =4/3