# Troublesome reals indeed......

Level pending

For two positive reals $$\large{a}$$ and $$\large{b}$$ and some $$\large{\theta}$$ , we have

$$\large{a\sin \theta + b\cos \theta = 1 = a \csc \theta - b \sec \theta}$$, find the value of

$$\Large{a^2 + b^2 - b^{\frac{2}{3}} + b^{\frac{4}{3}}}$$

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