cos^4x-cos^4x=cos^2x-sin^2x
You asked:
Solve the equation \({\cos\left( x \right)}^{4} - {\cos\left( x \right)}^{4} = {\cos\left( x \right)}^{2} - {\sin\left( x \right)}^{2}\) for the variable \(x\).
MathBot Answer:
The real solutions are: \[\begin{aligned}x &= \left\{\pi \left(\frac{1}{4} + n\right)\; \middle|\; n \in \mathbb{Z}\right\} \approx \left\{3.1415927 n + 0.78539816\; \middle|\; n \in \mathbb{Z}\right\}\\x &= \left\{\frac{\pi \left(3 + 4 n\right)}{4}\; \middle|\; n \in \mathbb{Z}\right\} \approx \left\{3.1415927 n + 2.3561945\; \middle|\; n \in \mathbb{Z}\right\}\end{aligned}\]