Find x-and y-Intercepts...3

[nycmathguy]

How do you find the x-and y-Intercepts of trig functions?

Try these two:

1. sin x + cos x

2. (sin x - cos x)/(tan x)

 

[MathLover1]

1. y=sin (x) + cos (x)

x-intercept at y=0
0=sin (x) + cos (x)
x = π*n - π/4, n element Z
y-intercept at x=0
y=sin (0) + cos (0)
y=0 + 1
y=1

2. y=(sin (x) - cos(x))/(tan( x))

x-intercept at y=0
it will be 0 if and only if sin (x) - cos(x)=0
x = π*n +π/4, n element Z

y-intercept at x=0
y=(sin (0) - cos(0))/(tan(0))
y=(0 - 1)/0-> undefined; so, there is no y-intercept

 

[nycmathguy]

1. y=sin (x) + cos (x)

x-intercept at y=0
0=sin (x) + cos (x)
x = π*n - π/4, n element Z
y-intercept at x=0
y=sin (0) + cos (0)
y=0 + 1
y=1

2. y=(sin (x) - cos(x))/(tan( x))

x-intercept at y=0
it will be 0 if and only if sin (x) - cos(x)=0
x = π*n +π/4, n element Z

y-intercept at x=0
y=(sin (0) - cos(0))/(tan(0))
y=(0 - 1)/0-> undefined; so, there is no y-intercept

I gotta practice more with trigonometric functions.