JEE Math Practice Question

The set of all real values of $$\lambda $$ for which the function $$f(x) = \left( {1 - {{\cos }^2}x} \right)\left( {\lambda + \sin x} \right),x \in \left( { - {\pi \over 2},{\pi \over 2}} \right)$$ has exactly one maxima and exactly one minima, is :

1. A.$$\left( { - {3 \over 2},{3 \over 2}} \right) - \left\{ 0 \right\}$$
2. B.$$\left( { - {3 \over 2},{3 \over 2}} \right)$$
3. C.$$\left( { - {1 \over 2},{1 \over 2}} \right) - \left\{ 0 \right\}$$
4. D.$$\left( { - {1 \over 2},{1 \over 2}} \right)$$