Question #40d8c

1 Answer
Nov 23, 2017

theta=13θ=13 degrees, 193193 degrees (assuming that your domain is 0<=theta<3600θ<360)

General equation: theta=180n+13θ=180n+13, where nn is an integer.

Explanation:

Here is your equation:
(tan(theta-13))/2=0tan(θ13)2=0

If we multiply by 2 on each side:

tan(theta-13)=0tan(θ13)=0

Now, let's set a=theta-13a=θ13. So:

tan(a)=0tan(a)=0

a=0a=0 degrees, 180180 degrees

Therefore:

theta-13=0θ13=0 and theta-13=180θ13=180

theta=13θ=13 degrees, 193193 degrees (assuming that your domain is 0<=theta<3600θ<360)

Here is the general equation for answers to this equation:

theta=180n+13θ=180n+13, where nn is an integer.

This means that, if you substitute nn for any integer (negative, zero, or positive), the value you get will satisfy the equation. Hope this helps!