(i) A wheel of circumference 120cm makes 70 revolutions per second. How long will it take to cover a distance of 6.5km?
(ii) Prove the following identities: 1/sin A + cos A/sin A= cot A + cosec A-1/cot A - cosec A +1
(iii) Half of bamboo pole is buried in mine, one-sixth of it is in water and the part above water is greater than or equal to 1metre. Find the length of the shortest pole.
(iv) Show that: tan 7° . tan 23° . tan 60° . tan 67° . tan 83°= √3