Let 0≤x,y,z≤π2 such that sinx⋅siny⋅cosz=14√2, sin2x⋅sin3y – InterviewSolution

1.	Let 0≤x,y,z≤π2 such that sinx⋅siny⋅cosz=14√2, sin2x⋅sin3ycosz=14√2 and sinx⋅sin4ycos2z=18, then which of the following is/are correct?
Answer» Let $0 \leq x, y, z \leq \frac{π}{2}$ such that $sin x \cdot sin y \cdot cos z = \frac{1}{4 \sqrt{2}}, \frac{{sin}^{2} x \cdot {sin}^{3} y}{cos z} = \frac{1}{4 \sqrt{2}} and \frac{sin x \cdot {sin}^{4} y}{{cos}^{2} z} = \frac{1}{8}$ , then which of the following is/are correct?

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