Question #40d8c

1 Answer
Nov 23, 2017

#theta=13# degrees, #193# degrees (assuming that your domain is #0<=theta<360#)

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

Explanation:

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

If we multiply by 2 on each side:

#tan(theta-13)=0#

Now, let's set #a=theta-13#. So:

#tan(a)=0#

#a=0# degrees, #180# degrees

Therefore:

#theta-13=0# and #theta-13=180#

#theta=13# degrees, #193# degrees (assuming that your domain is #0<=theta<360#)

Here is the general equation for answers to this equation:

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

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