$$\text{trig}_a(\theta) + \text{trig}_b(2\theta) = 4$$

$$\text{Solve for } \theta $$

$$\text{where;}\qquad \{\text{ trig}_a(\theta )~\}\qquad \text{is some trigonometric function}$$
$$\text{and;}\qquad \{\text{ trig}_b(2\theta )~\}\qquad \text{is some other trigonometric function}$$

Question

$$\text{trig}_a(\theta) + \text{trig}_b(2\theta) = 4$$

$$\text{Solve for  } \theta $$

$$\text{where;}\qquad \{\text{ trig}_a(\theta )~\}\qquad \text{is some trigonometric function}$$
$$\text{and;}\qquad \{\text{ trig}_b(2\theta )~\}\qquad \text{is some other trigonometric function}$$

anonymous · Answer

Is a general solution to this equation possible?
@Mr.Math @FoolForMath

unklerhaukus · Answer

well i know of a simple solution

anonymous · Answer

I think this is artificially made harder by veiling the trig functions.

unklerhaukus · Answer

well at least one of them must be greater than 1

anonymous · Answer

I am curious, what's the general solution?

unklerhaukus · Answer

im not looking for a general solution i think that would be too hard,

im looking for a specific solution,

to solve this you might need to know some trig functions that can be greater than zero

anonymous · Answer

Hmm tan, cot hmm sec, csc.

unklerhaukus · Answer

getting warm...