# Trigonometrical confusion!

Geometry Level 2

If $$\alpha$$ + $$\beta$$ = $$\large\frac{\pi}{2}$$ and $$2$$[$$cos^{2}$$$$\alpha$$ $$-$$$$cos^{2}$$$$\beta$$] = $$1$$ , then find the value of $$\alpha$$.

Assume $$0\leq \alpha \leq\frac\pi2$$.

×