An angle is given as radians.

MATHEMATICS · Multi-part · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

An angle ϕ\phi is given as 23π4\dfrac{23\pi}{4} radians. (i) Determine the number of complete revolutions contained in ϕ\phi. (ii) Find the radian measure of the remaining part of the angle that is less than one full revolution, writing your answer as an exact multiple of π\pi. (iii) Convert the remaining angle obtained in part (ii) to degrees, minutes and seconds, rounding the seconds to the nearest whole number.

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