Find the x and y Intercepts tan(x)

Problem

ƒ(x)=tan(x)

Solution

1. Find the y-intercept by evaluating the function at x=0

ƒ(0)=tan(0)

ƒ(0)=0

y-intercept: *(0,0)

2. Find the x-intercepts by setting the function equal to zero and solving for x

tan(x)=0

3. Apply the definition of the tangent function, where tan(x)=sin(x)/cos(x)

sin(x)/cos(x)=0

4. Solve for x by identifying where the numerator is zero.

sin(x)=0

x=n*π

where *n* is any integer.

Final Answer

x-intercepts: *(n*π,0), y-intercept: *(0,0)

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