Question

Find all trigonometric functions of angle in
standard position whose terminal arm passes
through point (3,-4).​

Answer 1

Step-by-step explanation:

We would use the definitions for the trig functions in terms of x,y, and r.

In your example

x=−8,y=−5,r=x2+y2−−−−−−√=(−5)2+(−8)2−−−−−−−−−−−√=89−−√

sin(θ)=yr=−589−−√

cos(θ)=xr=−889−−√

tan(θ)=yx=−5−8=58

csc(θ)=ry=−89−−√5

sec(θ)=rx=−89−−√8

cot(θ)=xy=−8−5=85