Question

A 30 m long rope is tightly stretched and tied from the top of pole to the ground. If the rope makes an angle of 60° with the ground, the height of the pole is :

Prove that (cos A + sin A – 1)/(cos A – sin A + 1) = cosec A – cot A

(cot θ + tan θ) equals :

In Figure, is shown a sector OAP of a circle with centre O, containing ∠θ. AB is a perpendicular to the radius OA and meets OP produced at B. Prove that the perimeter of shaded region is r [tan θ + sec θ + πθ/180° – 1]