Question 958137
{{{tan(2*theta+7) = -11}}}
If all you need is one solution (there are infinitely many), then all you need to do is...
Find the inverse tan of each side:
tan<sup>-1</sup>({{{tan(2*theta+7)}}}) = tan<sup>-1</sup>(-11)
The left side simplies  and the calculator will give us an number for the right side:
{{{2*theta+7}}} = -84.8 (degrees, rounded-off)
Now subtract 7 from each side:
{{{2*theta}}} = -91.8 (degrees, rounded-off)
And divide by two:
{{{theta}}} = -45.9 (degrees, rounded-off)<br>
All the other solutions will be multiples of 180 (since the period of tan is 180) away from -45.9.<br>
In response to the question in your "Thank you" note:
To turn -45.9 into radians:
{{{-45.9 * (pi/180) = -0.255*pi}}}
If this is not the answer provided, then try adding various multiples of {{{pi}}} (since the period of tan, in radians, is {{{pi}}}) until you get the answer. For example:
{{{-0.255*pi+pi = 0.745*pi}}}<br>
{{{-0.255*pi+2*pi = 1.745*pi}}}<br>
If the "official" answer does not have {{{pi}}} in it, then replace {{{pi}}} with 3.141529 (or some rounded-off version of this decimal).