Let be an angle in quadrant II such that sin817 Find the exa

Let be an angle in quadrant II such that sin=8/17.

Find the exact values of sec and cot

Solution

We have given sin=8/17

We know the formula sin²+cos²=1 implies cos²=1-sin²=1-(64/289)=(289-64)/289 =225/289

cos²=225/289 implies cos=15/17

sec=1/ cos =1/(15/17) =17/15

cot=cos/sin =(15/17)/(8/17) =15/8