3 points An equation of the terminal side of an angle in sta

(3 points) An equation of the terminal side of an angle in standard position is given with a restriction on x. Sketch the least positive such angle , pick a point (x,y) on the terminal side of the angle, and find the values of the six trigonometric functions of . Give exact answers (no decimal approximations.)

(2x+2y)=0, x0

A point on the terminal side of the angle is  
sin=
cos=
tan=
sec=
csc=
cot=

Solution

-2x -2y=0

x/y=-1/1

y/x=-1/1

tan theta=y/x =-1/1

cot theta=x/y=-1/1

sin theta=opposite/hypotenuse=-1/sqrt2

cos theta=adjacent/hypotenuse=1/sqrt2

csc theta=1/sin theta=-sqrt2

sec theta=1/cos theta=sqrt2