Question 1140415

Let({{{-3}}},{{{-7}}}) be a point on the terminal side of theta

{{{x = -3}}} ; {{{y = -7}}}

So,

{{{r^2 =(- 3)^2 + (-7)^2}}}

{{{r^2 = 58}}} 

{{{r = sqrt(58 )}}}


{{{sin (theta) =y/r= - 7 / sqrt(58 )}}}

{{{cos (theta) =x/r= -3 / sqrt(58 )}}}

{{{tan (theta)  =y/x= - 7 / -3 =7/3}}}

{{{csc (theta)  =r/y= - sqrt(58 )/ 7 }}}

{{{sec (theta) =r/x= -sqrt(58) / 3 }}}

{{{cot (theta)  =x/y= - 3 / -7=3/7}}}