The termi nal side of lies on the given line in the specifie

The termi nal side of lies on the given line in the specified quadrant. Find the exact values of the six trigonometric functions of Line Quadrant by finding a point on sin = cos tan = sec 0- cot -5

Solution

y=1/5x

y/x=1/5

tan theta=y/x=1/5

opposite=1 , adjacent =5

hypotenuse=sqrt(25+1)=sqrt24= sqrt26

sin theta=opposite/hypotenuse=-1/sqrt26

cos theta=adjacent/hypotenuse=-5/sqrt26

cot theta=1/tan theta=5

csc theta=1/sin theta=-sqrt26

sec theta=1/cos theta=-sqrt26/5