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Question
Convert the following angles into radian:
75°30′
Solution
We know that, 180° = πc
∴ 1° = `(pi/180)^"c"`
75°30′ = 75° + 30'
= `75^circ + (30/60)^circ ...[1"'" = (1/60)^circ]`
= `75^circ + (1/2)^circ`
= `(75 + 1/2)^circ`
= `(151/2)^circ`
= `(151/2 xx pi/180)^"c"`
= `((151pi)/360)^"c"`
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