Quantitative Aptitude Trigonometry Trigonometric Ratios and Identities

If \(\cot θ=\frac{4}{3}, 0<θ<\frac{\pi}{2}\), and 5p cos2 θ sin θ = cot2 θ, then the value of p is: 

1
\(\frac{7}{27}\)
2
\(\frac{125}{27} \)
3
\( \frac{5}{27}\)
4
\(\frac{25}{27}\)

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