If sin θ = -  \(\frac{3}{5}\) and θ lies in the third quadrant, find cos θ

In the diagram above angle LNM and angle YNZ are represented by g and h respectively. Find ∠MNY

If sec\(^2\)θ + tan\(^2\)θ = 3, then the angle θ is equal to?

In the diagram above, XY = 8cm and OX = 5cm. Find Oz

Given that sin (5x-28)° = cos (3x-50)", 0°≤ x ≤ 90°, find the value of x.