Let x, y, z be real numbers with x \geq y \geq z \geq \frac{\pi}{12}, such that x+y+z=\frac{\pi}{2} and let P=\cos x \cdot \sin y \cdot \cos z, then:

minimum value of P is \frac{1}{8}

maximum value of {P} is \frac{2+\sqrt{3}{8}

minimum value of P is \frac{1}{4}

maximum value of {P} is \frac{2+\sqrt{3}{4}

JEE Advanced 2020 Full Test 2 Paper 2

Question : 39 of 54

Marks: +1, -0

Let x,y,z be real numbers with x≥y≥z≥‌

, such that x+y+z=‌

and let P=cos‌x⋅sin‌y⋅cos‌z, then:

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