Let us eliminate ‘θ’ from the relations :

x = 2 sin θ, y = 3 cos θ

In ΔPQR, ∠Q is right angle. If PR = √5 units and PQ – RQ = 1 unit, then let us determine the value of cosP – cosR.

In ΔXYZ, ∠Y is right angle. If XY = 2√3 units and XZ – YZ = 2 units then let us determine the values of (secX - tanX).

Let us eliminate ‘θ’ from the relations :

5x = 3 sec θ, y = 3 tan θ

If then let us show that, tan α + sec α = 1.5.