Convert each of the following angles from degree–minute–second (DMS) form to radian…

MATHEMATICS · Subjective · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

Convert each of the following angles from degree–minute–second (DMS) form to radian measure. Express every answer exactly in terms of π\pi. (i) 23∘ 15′ 30′′23^{\circ}\,15'\,30'' (ii) 145∘ 42′ 0′′145^{\circ}\,42'\,0'' (iii) 2∘ 0′ 18′′2^{\circ}\,0'\,18''

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