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(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

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by samharsh

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