Greatest or least value of an expression in sin^-1 x and cos^-1 x

1. A.
   $\dfrac{\pi^2}{8}$
2. B.
   $\dfrac{3\pi^2}{8}$
3. C.
   $\dfrac{5\pi^2}{8}$
4. D.
   $\dfrac{7\pi^2}{8}$

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1. A.
   $\dfrac{\pi^2}{8}$
2. B.
   $\dfrac{11\pi^2}{8}$
3. C.
   $\dfrac{3\pi^2}{8}$
4. D.
   $\dfrac{7\pi^2}{8}$

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1. A.
   $a \ge \dfrac{1}{32}$
2. B.
   $a \ge \dfrac{1}{16}$
3. C.
   $a \le \dfrac{1}{32}$
4. D.
   $a \le \dfrac{1}{16}$

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1. A.
   $\alpha = 0, \beta = 2\pi$
2. B.
   $\alpha = \pi, \beta = 2\pi$
3. C.
   $\alpha = 0, \beta = \pi$
4. D.
   $\alpha = -\pi, \beta = \pi$

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1. A.
   $\dfrac{\pi}{2}$
2. B.
   $\pi$
3. C.
   $\dfrac{3\pi}{2}$
4. D.
   $2\pi$

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