Solve 5 − 4 = 6 for -360^ < theta 360^ using the t-formula.

here's how to solve the equation $5\cos\theta - 4\sin\theta = 6$ for the range $-360^\circ < \theta \le 360^\circ$ using the t-formula:

Step 1: Apply the t-formula substitutions.
Let $t = \tan\left(\frac{\theta}{2}\right)$. The t-formula states that $\cos\theta = \frac{1-t^2}{1+t^2}$ and $\sin\theta = \frac{2t}{1+t^2}$.
Substitute these into the given equation:

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