General Solution of the equation $\sin^{2015}(\phi)+\cos^{2015}(\phi) = 1$ (1) Calculation of General Solution of the equation $\sin^{2015}(\phi)+\cos^{2015}(\phi) = 1$
(2) Calculation of General Solution of the equation $\sin^{3}(\phi)+\cos^{5}(\phi) = 1$
$\bf{My\; Try::}$ For $(1)$ one:: We Can write $\sin^{2015}(\phi)\leq \sin^{2}(\phi)\;\;,\cos^{2015}(\phi)\leq 1\;\forall \phi \in \mathbb{R}$ 
So $\sin^{2015}(\phi)+\cos^{2015}(\phi)\leq \sin^{2}(\phi)+\cos^{2}(\phi) = 1$
Now How can I solve after that, Help me
thanks

Hint: $\sin^{2015}\phi - \sin^2\phi = 0 \Rightarrow \sin^2\phi\left(\sin^{2013}\phi - 1\right) = 0 \to \sin\phi = 0,1$. Same for cosine.
