Question

Convert the following angles into radian:

75°30′

Answer 1

We know that, 180° = π^c

∴ 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"`