MathematicsMedium175×since 2002Q2646The set of all real values of λ\lambdaλ for which the function f(x)=(1−cos2x)(λ+sinx),x∈(−π2,π2)f(x) = \left( {1 - {{\cos }^2}x} \right)\left( {\lambda + \sin x} \right),x \in \left( { - {\pi \over 2},{\pi \over 2}} \right)f(x)=(1−cos2x)(λ+sinx),x∈(−2π,2π) has exactly one maxima and exactly one minima, is :A(−32,32)−{0}\left( { - {3 \over 2},{3 \over 2}} \right) - \left\{ 0 \right\}(−23,23)−{0}B(−32,32)\left( { - {3 \over 2},{3 \over 2}} \right)(−23,23)C(−12,12)−{0}\left( { - {1 \over 2},{1 \over 2}} \right) - \left\{ 0 \right\}(−21,21)−{0}D(−12,12)\left( { - {1 \over 2},{1 \over 2}} \right)(−21,21)Check answerSkip