If (-4,1) is a point of the terminal side of angle in standard position evaluate all 6 trig functions of pheta in simplest radical form?

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Answer 1 · 2016-01-16T00:21:08

First, find the hypotenuse #h# ...

#h^2=x^2+y^2#

#h^2=(-4)^2+(1)^2=17#

#h=sqrt17#

#sintheta=y/h=1/sqrt17=sqrt17/17#

#costheta=x/h=(-4)/sqrt17=(-4sqrt17)/17#

#tantheta=sintheta/costheta=-1/4#

The final 3 are simply the reciprocal of the first three , so I'll leave the other 3 for you to solve :)

hope that helped